Step-1

Title: Volume of Prism

Grade: 4-a Lesson: S3-L5

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

The volume of the triangular prism is 462 cubic feet and the length of the prism is 12 feet, the sides of the triangle height is 7 feet, find the base of prism ?

2

Step

The given volume and height and lengt of the prism is

v = 462
h = 7 feet
l = 12 feet

3

Formula

The volume of the triangular prism formula is

v = \$1/2 times b times h times l\$

4

Step

Substitute the values in the given formula, we get the base 'b'

⇒ \$462 = 1/2 times b times 12 times 7\$

⇒ \$462 = 0.5 times 12 times 7 times b\$

⇒ 462 = 42b

5

Step

Move b coefficient into left hand side

⇒ \$462/42\$ = b

⇒ 11 = b

6

Formula

The base of the triangular prism b is 11 meters.

7

SumUp

Can you summarize what you’ve understood in the above steps?

8

Choice.A

The option correctly aligns with the base of triangular prism, making it the accurate answer in comparison

11 feet

9

Choice.B

The option is incorrect as it doesn’t align with the base of the triangular prism, making it inaccurate

7 feet

10

Choice.C

The option is incorrect as it doesn’t align with the base of the triangular prism, making it inaccurate

8 feet

11

Choice.D

The option is incorrect as it doesn’t align with the base of the triangular prism, making it inaccurate

9 feet

12

Answer

Option

A

13

SumUp

Can you summarize what you’ve understood in the above steps?


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