Question

Andrey is making a garden box and wants to know how much dirt is needed to fill the box. A prism has a length of 8 feet, height of 2 feet, and width of 8 feet. Which statement is correct about the amount of dirt that will fill the entire box? The space inside the box is the surface area, which is 128 ft3. The space inside the box is the surface area, which is 192 ft3. The space inside the box is the volume, which is 128 ft3. The space inside the box is the volume, which is 192 ft3.

Answer 1

Answer:

The space inside the box is the volume, which is 128 ft3

Step-by-step explanation:

Given the dimensions of the box as 8ft by 2ft by 8ft. We calculate it's volume and surface area to validate the statements;

$V=lwh\\\\=8\times 2\times 8\\\\=128 \ ft^3\\\\Area=2lw+2lh+2hw\\\\=2(8*2)+2(8*8)+2(2*8)\\\\=192 \ ft^2$

The volume of the box is 128 ft^3 and its surface area 192 ft^2. Hence, the correct statement is The space inside the box is the volume, which is 128 ft3