Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

5. the construction crew is digging a basement for a new home. if the b…

Question

  1. the construction crew is digging a basement for a new home. if the basement will be 40 ft long, 25 feet wide, and 10 feet tall, how much dirt will the crew need to remove?

Explanation:

Step1: Identify volume formula

The dirt to remove equals the volume of the rectangular basement, calculated by $V = l \times w \times h$, where $l$ = length, $w$ = width, $h$ = height.

Step2: Substitute given values

Substitute $l=40$, $w=25$, $h=10$ into the formula.
$V = 40 \times 25 \times 10$

Step3: Calculate the volume

First compute $40 \times 25 = 1000$, then multiply by 10.
$V = 1000 \times 10 = 10000$

Answer:

10000 cubic feet of dirt