Waylan has two cardboard boxes that are rectangular prisms. Each cardboard box has the same height, h, but the square bases of each cardboard box have different side measurements, w. He wants to find the amount of space, S, inside each box. Considering that each box has a square base, he decides to use the formula below for his calculation.

The square base on Box A has a side measurement of 2 feet, and the square base on Box B has a side measurement of 0.75 of a foot. Each box has a height of 4 feet.

Question

Waylan has two cardboard boxes that are rectangular prisms. Each cardboard box has the same height, h, but the square bases of each cardboard box have different side measurements, w. He wants to find the amount of space, S, inside each box. Considering that each box has a square base, he decides to use the formula below for his calculation.

The square base on Box A has a side measurement of 2 feet, and the square base on Box B has a side measurement of 0.75 of a foot. Each box has a height of 4 feet.

davidjonManning · Answer

What is the answer i dont get it

davidjonManning · Answer

this due tomorrow

justjm · Answer

|dw:1573600850975:dw|

Amount of space is basically volume. It has a square base so you could just do $w^2 h$, or find the volumes using the diagram I made.

justjm · Answer

It's just asking for the volume of each box.

Volume of a box is length times width times height. You can just apply that.

justjm · Answer

What's the formula that they are giving?

davidjonManning · Answer

|dw:1573601465377:dw|

davidjonManning · Answer

am i right

justjm · Answer

Box b* is 7.11 times bigger than box a.

davidjonManning · Answer

i got it correct yayyyyyy

justjm · Answer

So the question is asking for scale factor?

Just apply the ratio of the side of box b to box a in the volume formula. It is 2:0.75. Then square it. That is the answer, or 7.111.