Question

pablo made an ice sculpture in the shape of this solid. find the volume of the solid. ft³

Explanation:

Step1: Split into 3 rectangular prisms

We divide the solid into three separate rectangular prisms, each with dimensions we can identify.

Step2: Calculate volume of Prism 1

Prism 1: length=6 ft, width=4 ft, height=2 ft. Volume formula: $V = l \times w \times h$
$V_1 = 6 \times 4 \times 2 = 48$ $\text{ft}^3$

Step3: Calculate volume of Prism 2

Prism 2: length=6 ft, width=4 ft, height=$5-2=3$ ft.
$V_2 = 6 \times 4 \times 3 = 72$ $\text{ft}^3$

Step4: Calculate volume of Prism 3

Prism 3: length=6 ft, width=4 ft, height=$8-5=3$ ft.
$V_3 = 6 \times 4 \times 3 = 72$ $\text{ft}^3$

Step5: Sum all prism volumes

Add the volumes of the three prisms to get total volume.
$V_{\text{total}} = 48 + 72 + 72$

Answer:

192 $\text{ft}^3$