2. Squares of side a are cut from each corner of a 8 in x 6 in rec sides can be folded to make a box with no top. Represent a fu that can define the volume of the box.

Q: Find the volume of a square pyramid with base edges 9 and height 5.

A: Given Square pyramid with base edge 9 and height 5

Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: Given:

Q: A rectangular piece of metal is 20 in longer than it is wide. Squares with sides 4 in long are cut…

A: Topic - application of quadratic equations

Q: What are the dimensions of the lightest open-top right circular can that will hold a volume of…

A:

Q: Find the edge length of the cube. Volume 216 in.3 %3D

A: Solution: The objective is to find the edge length of the cube

Q: 6 in i B in 10 in %3D

A:

Q: 5.) A box is to be constructed from a square piece of zinc with side 40 in by cutting equal squares…

A: Explanation of the answer is as follows

Q: The radius of the largest sphere with center (29,330,290) that is contained in the first octant is…

A:

Q: Give the dimensions of a box with 5 sides that has a surface area of 300 cm? and holds the largest…

A: Let the dimension of the box is l×b×h, so the surface area of five-sided box is: S=2lb+2bh+lh Given,…

Q: 3) A piece of sheet metal is rectangular,5ft wide and 8ft long. congruent squares are to cut from…

A: Given that a piece of sheet metal is rectangular,5ft wide and 8ft long. Also, congruent squares are…

Q: The Philippine Postal Service will accept a box for domestic shipment only if the sum of its length…

A:

Q: If a triangular prism has a height of 7 and right triangular base with legs 8 and 10. What is the…

A:

Q: If a cube has edges that are each twice as long as a second cube, then its volume will be four times…

A: A cube has edges that are each twice as long as a second cube

Q: 2. A printer needs to make a campaign poster that will have a total area of 200 in? and will have…

A:

Q: 1. If the cube has a side lenght of 1 unit, what is the volume 2.) What is the surface area of the…

A: volume = no of cube*(volume of 1 cube) volume = 44*(1*1*1) volume = 44 unit3 now for surface area =…

Q: A company plans to enclose three parallel rectangular areas for sorting returned goods. The three…

A:

Q: What is the largest possible area such a region can have if its perimeter is to be 20 units?

A:

Q: A gusset is the shape of a right triangular prism. If the right triangular base has dimensions 3.0…

A: Given: Of a triangular prism, the right triangular base has dimensions 3.0 in. by 4.0 in by 5.0 in.…

Q: . A box with an open top is to be constructed from a square piece of cardboard, 3 m wide, by cutting…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by…

A: Four square pieces at the corners of a square cardboard of size 3 × 3 feet.  And it was made into a…

Q: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in.…

A: We have, a rectangular piece of poster board having dimension 20 inch wide and 30 inch long. Four…

Q: 8 in Find the volume of the sphere.

A:

Q: 13 Find the area of the rectangle of largest area that can be inscribed in a semicircle of radius 6.

A: We first consider a semicircle with center at (0,0) and radius = 6  It will have equation:

Q: 2. You are planning to make an open rectangular box from an 8 cm x 15 cm piece of cardboard. You…

A: An open rectangular box is made from a cardboard.we need to find the dimensions of largest box that…

Q: A box is formed by cutting squares from the four corners of a 7"-wide by 9"-long sheet of paper and…

A:

Q: Find the dimensions of a rectangle (in m) with area 1,000 m2 whose perimeter is as small as…

A:

Q: (8) If 1200 cm? of the material is available to make a box with a square base and an open top, find…

A: The volume of the box V=a2h

Q: A diagonal of a cube joins two vertices not in the same face. If the diagonals are 4V3 cm long, what…

A: Given: A diagonal of a cube joins two vertices not in the same face. Length of diagonals are 43  cm…

Q: The volume of the resulting open top box when identical squares with side x are cut off from the…

A: Given that, the dimensions of the aluminum sheet are three-meter by five-meter. To find: The volume…

Q: Suppose that each of the bases of the triangular prism in Exercise 2 has an area of 3.4 cm? and that…

A: Consider the given: Find the volume of Prism: The Volume of Prism = Base Area ×height It is given…

Q: Find the area of the largest rectangle that can be inscribed in asemicircle of radius r

A:

Q: the

A: Explanation : The frustums of the triangular pyramid is drawn by,

Q: What is the total area of the original unfolded rectangle as shown if the total area of the figure…

A: To find the total area of the original unfolded rectangle as shown if the total area of the figure…

Q: If a cube has a volume of 64. What is it’s edge length

A:

Q: Show that among regular polygons having the same perimeter, the area increases with the number of…

A:

Q: A vegetable bin built in the form of a cube with an edge of 8 ft. is divided by a vertical partition…

A: Given query is to find the perimeter of the triangular Prism.

Q: A box with an open top is to be constructed from a square piece of cardboard, 24 inches wide, by…

A:

Q: Find the area of the largest rectangle that can be inscribed in a semicircle of radius 10cm.

A:

Q: Find the volume (cu.units) of the sphere circumscribed about a regular tetrahedron whose edge is 12…

A: Given a regular tetrahedron whose edge is 12 units.  To determine  the volume of the sphere…

Q: Find the length of the entire perimeter af the region inside r=5sin 8 but outsider=3.

A:

Q: If a cube has edges that are each twice as long as a second cube then its volume will be eight times…

A: Calculate volume in the following way:-

Q: 1. A box with an open top is to be constructed from a square piece of cardboard 3 feet wide by…

A: Introduction: The volume o the cuboid of side lengths a, b, c is given by, V=a×b×c

Q: Find the area (in cm^2) of the largest rectangle that can be inscribed in a right triangle with legs…

A:

Q: The diameter of a sphere is 18 in. Find the largest volume of regular pyramid of altitude 15 in.…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: Find the dimensions of the rectangle of largest area that can be inscribed in a circle of radius 6…

A: Please refer the attached image for complete solution.

Q: Given that a right circular cylinder is inscribed within a sphere, what is the least possible volume…

A:

Q: A box with an open top is to be constructed from a square piece of cardboard with dimensions 4 cm x…

A: The dimensions of the box is 4cm×4cm. Let each side of the square cut off from each corner be x cm.…

Q: Find the volume of a sphere with area 9 π

A: Given, area of sphere is 9 π. To find volume of the sphere. We know that, Area of sphere = 4πr2…