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Lesson Example Discussion Quiz: Class Homework

Step-2

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 surface area of a rectangular prism is 236 square meters, and the length and height are 8 meters and 6 meters, find the volume of the prism.
2	Step	The given surface area, length and height of a prism are	A = 236 sq.meter l = 8 meters h = 6 meters
3	Formula	The surface area of a rectangle prism is	A = 2(wl + hl + hw)
4	Step	Substitute the area and length in the formula, we get the width value	\$236 = 2("w" times 8 + 8 times 6 + 6 times "w")\$ ⇒ \$236 = 2(8"w" + 48 + 6"w")\$ ⇒ \$236 = 2(14"w" + 48)\$
5	Step	After simplification	⇒ 236 = 24w + 96 ⇒ 236 - 96 = 28w ⇒ 140 = 28w
6	Step	Move the "w" coefficient to left-hand side	⇒ \$140/28\$ = w ⇒ 5 = w
7	Step	The width "w" of prism is	5 meters
8	Formula	The volume of a rectangular prism is the product of length, width, and height	\$"v" = "l" times "w" times "h"\$
9	Step	Substitute the values in the formula, we get volume of rectangular prism	⇒ \$"V" = 8 times 5 times 6\$ ⇒ v = 240
10	Step	Therefore the volume of rectangular prism is 240 \$"meter"^3\$
11	SumUp	Can you summarize what you’ve understood in the above steps?
12	Choice.A	The option is incorrect as it doesn’t align with the volume of a rectangular, making it inaccurate	220 \$"meter"^3\$
13	Choice.B	The option is incorrect as it doesn’t align with the volume of a rectangular, making it inaccurate	274 \$"meter"^3\$
14	Choice.C	The option correctly aligns with the volume of a rectangular prism, making it the accurate answer in comparison	240 \$"meter"^3\$
15	Choice.D	The option is incorrect as it doesn’t align with the volume of a rectangular, making it inaccurate	232 \$"meter"^3\$
16	Answer	Option	C
17	SumUp	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

The surface area of a rectangular prism is 236 square meters, and the length and height are 8 meters and 6 meters, find the volume of the prism.

Step

The given surface area, length and height of a prism are

A = 236 sq.meter
l = 8 meters
h = 6 meters

Formula

The surface area of a rectangle prism is

A = 2(wl + hl + hw)

Step

Substitute the area and length in the formula, we get the width value

\$236 = 2("w" times 8 + 8 times 6 + 6 times "w")\$

⇒ \$236 = 2(8"w" + 48 + 6"w")\$

⇒ \$236 = 2(14"w" + 48)\$

Step

After simplification

⇒ 236 = 24w + 96

⇒ 236 - 96 = 28w

⇒ 140 = 28w

Step

Move the "w" coefficient to left-hand side

⇒ \$140/28\$ = w

⇒ 5 = w

Step

The width "w" of prism is

5 meters

Formula

The volume of a rectangular prism is the product of length, width, and height

\$"v" = "l" times "w" times "h"\$

Step

Substitute the values in the formula, we get volume of rectangular prism

⇒ \$"V" = 8 times 5 times 6\$

⇒ v = 240

Step

Therefore the volume of rectangular prism is 240 \$"meter"^3\$

SumUp

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

Choice.A

The option is incorrect as it doesn’t align with the volume of a rectangular, making it inaccurate

220 \$"meter"^3\$

Choice.B

The option is incorrect as it doesn’t align with the volume of a rectangular, making it inaccurate

274 \$"meter"^3\$

Choice.C

The option correctly aligns with the volume of a rectangular prism, making it the accurate answer in comparison

240 \$"meter"^3\$

Choice.D

The option is incorrect as it doesn’t align with the volume of a rectangular, making it inaccurate

232 \$"meter"^3\$

Answer

Option

SumUp

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