Question

A right rectangular prism has base dimensions of 3 inches by 12 inches. An oblique rectangular prism has base dimensions of 4 inches by 9 inches.
If the prisms are the same height, how do their volumes compare?

The volumes are equal, because the bases are congruent.
The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.
The volumes are not equal, because their horizontal cross-sectional areas are not the same at every level.

Answer 1

Answer:

The correct option is 2.

Step-by-step explanation:

Given information: Height of both prism are same.

Right rectangular prism has base dimensions of 3 inches by 12 inches.

Volume of a right rectangular prism:

$V=Bh$

where, B is base area and h is height of the prism.

The volume of right rectangular prism is

$V=(3\times 12)\times h=36h$

Therefore the volume of right rectangular prism is 36h cubic inches.

An oblique rectangular prism has base dimensions of 4 inches by 9 inches.

Volume of a oblique rectangular prism:

$V=Bh$

where, B is base area and h is height of the prism.

The volume of right rectangular prism is

$V=(4\times 9)\times h=36h$

Therefore the volume of oblique rectangular prism is 36h cubic inches.

The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Option 2 is correct .

Answer 2

Answer:

B) The volumes are equal, because the heights are equal and the horizontal cross-sectional areas at every level are also equal.

Step-by-step explanation: