Question

find the volume of each rectangular prism. 1. base area 56 in², height 6 in. 2. base area 32 cm², height 12 cm 3. base area 42 m², height 8 m

Explanation:

Step1: Recall volume formula

The volume formula for a rectangular prism is $V = B\times h$, where $B$ is the base - area and $h$ is the height.

Step2: Solve for the first prism

For the first prism, $B = 56$ in² and $h = 6$ in. So $V_1=56\times6 = 336$ in³.

Step3: Solve for the second prism

For the second prism, $B = 32$ cm² and $h = 12$ cm. So $V_2=32\times12 = 384$ cm³.

Step4: Solve for the third prism

For the third prism, $B = 42$ m² and $h = 8$ m. So $V_3=42\times8 = 336$ m³.

Answer:

1. 336 in³
2. 384 cm³
3. 336 m³