Question

what is the volume of this figure?
4 ft.
4 ft.
8 ft.
3 ft.
10 ft.
____ cubic feet
submit

Explanation:

Step1: Split into two rectangular prisms

Divide the L-shaped figure into two separate rectangular solids: one tall prism on the left, and one shorter prism on the right.

Step2: Calculate dimensions of right prism

Find length, width, height of the right prism:
Length = $10 - 4 = 6$ ft, Width = $4$ ft, Height = $3$ ft

Step3: Volume of left prism

Compute volume of the tall left prism:
$\text{Volume}_1 = 4 \times 4 \times 8 = 128$ cubic ft

Step4: Volume of right prism

Compute volume of the shorter right prism:
$\text{Volume}_2 = 6 \times 4 \times 3 = 72$ cubic ft

Step5: Total volume of the figure

Add the volumes of the two prisms:
$\text{Total Volume} = 128 + 72$

Answer:

200 cubic feet