Question

PLEASE HELP

The cross section of rectangular prism A measured 3 units by 2 units. The cross section of triangular prism B has a base that measures 4 units and a height of 3 units. If the length of each prism is 3.51 units, which statement is true?

Answer 1

Answer:

$Volume \ A =Volume \ B$

Step-by-step explanation:

The complete question is attached.

Let's find each volume to find the right answer.

Rectangular prism.

The cross section is 3 units by 2 units, and its length is 3.51. Using these values, we find the volume

$V_{rectangular}=3 \times 2 \times 3.51 = 21.06 u^{3}$

Triangular prism.

The cross section is 4 units base and 3 units height (triangle). Its length is 3.51. Using these values, we find the volume

$V_{triangular}=\frac{1}{2} \times 4 \times 3 \times 3.51 = 21.06 u^{3}$

Therefore, as you can observe, both volumes are equal. So, the right answer is D.