5. A sheet of cardboard 3 ft by 4 ft will be made into a box by cutting equal-sized squares from each corner and folding up the four edges. What will be the dimensions of the box with largest volume? What is the largest volume of the box being made this way?

Q: A storage container consists of a box length of 90 cm, width 42cm, and a listing of half cylinder as…

A: First we find half cylinder as shown following diagram.

Q: Q5 Evaluate the following integral ff y dA. Where R is region bounded by three lines: y = 1, y = 2x…

A:

Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: Our “classic” sugar cube is the one that is 1.5 cm by 1.5 cm by 1.5 cm. Show and describe how you…

A: Given, Sugar cube is dimensions of 1.5cm,1.5cm and 1.5cm Given box 9 cm long and 12 cm wide

Q: 13 d From each corner of a square sheet of cardboard with side length d, a square with side length 5…

A: according to given figure length, breadth and height of box will be respectively d-10cm, d-10cm and…

Q: Jessica has a picture in a frame with a total area of 288 in2. The dimensionof the picture without…

A: Let w be the width on either side of the picture. Hence, dimensions of the frame will be: Length =…

Q: What is the volume of a rectangular Prism with the numbers of 18,12 and 7 1/2

A: We need to find the volume of a rectangular Prism with the numbers of 18,12 and 712. We know that…

Q: A cube with edges of 2 cm holds 468 grains of rice. How many grains of rice are in a cylinder with a…

A: Answer

Q: A poster is to contain 300 (cm square) of printed matter with margins of 10 cm at the top and bottom…

A: Let Total area of poster =A    Area of the picture =Ap               Top and bottom =10 cm  Each…

Q: a man is going to fold a box. the box will have a top that is open. it will be made from a square…

A:

Q: How many 1-cm squares does it take to construct a square that is 1 m on each side?

A: The length of the square on each side  Area of the square  But

Q: Mr. Ganty built a conical storage shed . The base of the shed is 4 meters in diameter and the height…

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: 7 m 7 m 9 m

A:

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.