6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

Question

3 years ago

13

6.Madeline made the wooden steps shown. What is the volume of the steps? The wooden steps have two parts, both of which are rect

angular prisms.--LONG DESCRIPTION--The top part is 6 inches tall, 5 inches wide and 10 inches long. The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Mathematics

1 answer:

Lelu [443] · Answer 1 · 2022-03-12T23:22:04+03:00

Answer:

840 cubic inches

Step-by-step explanation:

Given:

The wooden steps have two parts.

Both of which are rectangular prisms.

The top part is 6 inches tall, 5 inches wide and 10 inches long.

The bottom part is 6 inches tall, 9 inches wide and 10 inches long.

Question asked:

What is the volume of the steps?

Solution:

For top part

Length = 10 inches

Width = 5 inches

Height = 6 inches

As we know:

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times5\times6=300\ cubic\ inches$

For bottom part

Length = 10 inches

Width = 9 inches

Height = 6 inches

Similarly

$Volume\ of\ rectangular\ prism =length\times width\times height$

$=10\times9\times6=540\ cubic\ inches$

Volume of two steps = 300 + 540 = 840 cubic inches

Therefore, the volume of the steps are 840 cubic inches.