5. This box has a length x and a width that is 4 times its length. The volume is 500 cm. Find a formula for the surface area as a function of x.

Q: When the height of the sand in a particular rectangular sandbox is leveled out then the height of…

A: The height of the sand box is proportional to the volume of the sand. When the height is 2.25 in the…

Q: pls

A:

Q: 2. Find the length of chord HT that is 4 cm from the center of circle A with a radius of 5. Hint:…

A:

Q: For a certain square, the side is increasing at the rate of 2 mm/s. At what rate is the perimeter of…

A: We know       Perimeter (P) = 4 × ( side of square)

Q: A rectangular sheet of metal of length=30cm and width = 28cm has a square of side x cm cut from each…

A:

Q: A cylindrical can is to hold 1 liter, or 1000 cubic centimeters, of oil. Express the surface area of…

A: given: A cylinderical can is to hold 1 liter, or 1000 cubic centimeters, of oil. we have to express…

Q: A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per minute. Express the…

A: Given,          A cube has an edge of 5 feet. The edge is increasing at the rate of 2 feet per…

Q: Assume a box has a square base and the length of a side of the base is equal to twice the height of…

A: Volume of cuboid= lbh  surface Area=2(lb+bh+hl)

Q: Differentiate. y = 2/x (2Vx) = (2x)-] xp

A: In the question it is asked to differentiate the function y=2x. Here, it is asked to differentiate…

Q: A circular puddle is growing as syrup is poured onto the center of a large pancake. The height of…

A: Given that:Volume=V=314.159Height=h=4 Rate of change of volume=dVdt=20 The question is asking for…

Q: Find the increased in volume of a cylinder if the radius will be doubled and the altitude will be…

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Q: The area of the base of a cube is given by the function A(V) = v2/3, where V = 3,375 in3 is the…

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Q: If x and y are real numbers and x>1, prove that there exists a positive integer n such that x" > y

A: x and y are two real numbers and x>1. To prove there exist a positive integer n such that…

Cylinders

A cylinder is a three-dimensional solid shape with two parallel and congruent circular bases, joined by a curved surface at a fixed distance. A cylinder has an infinite curvilinear surface.

Cones

A cone is a three-dimensional solid shape having a flat base and a pointed edge at the top. The flat base of the cone tapers smoothly to form the pointed edge known as the apex. The flat base of the cone can either be circular or elliptical. A cone is drawn by joining the apex to all points on the base, using segments, lines, or half-lines, provided that the apex and the base both are in different planes.