Question

lara is building a shipping container for her basement. the container will have two sections that are connected. how many cubic feet of space can she obtain in the container? enter your answer in the box.

Explanation:

Step1: Split shape into two cuboids

Identify the two connected rectangular prisms:

1. Lower cuboid: dimensions $8\ \text{ft} \times 2\ \text{ft} \times 2\ \text{ft}$
2. Upper cuboid: dimensions $8\ \text{ft} \times 6\ \text{ft} \times (8-2)\ \text{ft} = 8\ \text{ft} \times 6\ \text{ft} \times 6\ \text{ft}$

Step2: Calculate volume of lower cuboid

Use volume formula $V = l \times w \times h$
$V_1 = 8 \times 2 \times 2 = 32\ \text{cubic feet}$

Step3: Calculate volume of upper cuboid

Use volume formula $V = l \times w \times h$
$V_2 = 8 \times 6 \times 6 = 288\ \text{cubic feet}$

Step4: Sum the two volumes

Add the volumes of the two parts
$V_{\text{total}} = V_1 + V_2 = 32 + 288$

Answer:

320 cubic feet