Question

what is the volume of this figure?
1,125 cubic feet
750 cubic feet
1,000 cubic feet
875 cubic feet

Explanation:

Step1: Split figure into two prisms

Divide the L-shaped figure into two rectangular prisms:
Prism 1: dimensions $15\ \text{ft} \times 5\ \text{ft} \times 10\ \text{ft}$
Prism 2: dimensions $5\ \text{ft} \times 5\ \text{ft} \times 15\ \text{ft}$

Step2: Calculate volume of Prism 1

Use volume formula $V = l \times w \times h$
$V_1 = 15 \times 5 \times 10 = 750\ \text{cubic feet}$

Step3: Calculate volume of Prism 2

Use volume formula $V = l \times w \times h$
$V_2 = 5 \times 5 \times 15 = 375\ \text{cubic feet}$

Step4: Sum the two volumes

Add volumes of both prisms
$V_{\text{total}} = V_1 + V_2 = 750 + 375$

Answer:

1,125 cubic feet