Question

what is the volume? 87 in 69 in 53 in cubic inches submit

Explanation:

Step1: Recall volume formula for prism

The volume $V$ of a rectangular prism is $V = l \times w \times h$, where $l=69$ in, $w=53$ in, $h=87$ in.

Step2: Calculate length × width

$$\begin{aligned} 69 \times 53 &= (70-1) \times 53 \\ &= 70\times53 - 1\times53 \\ &= 3710 - 53 \\ &= 3657 \end{aligned}$$

Step3: Multiply by height

$$\begin{aligned} 3657 \times 87 &= 3657 \times (80+7) \\ &= 3657\times80 + 3657\times7 \\ &= 292560 + 25599 \\ &= 318159 \end{aligned}$$

Answer:

318159 cubic inches