Step-5

Title: Geometry

Grade: 4-a Lesson: S3-L8

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

Lesson Steps

Step Type Explanation Answer

1

Problem

Find the volume and surface area of a cuboid with length 5 meters, width 8 meters, and height double its width.

2

Step

The given values are

l = 5 meters, w = 8 meters

3

Formula

The given height is equal to double of its width

h = 2w

4

Step

substitute width value in above formula

h = \$2 times 8\$

h = 16

5

Step

height of a cuboid is

h = 16 meters

6

Formula

To find the total surface area and volume of a cuboid, you can use the following formula

\$"TSA" = 2 (lw + lh + wh)\$

7

Step

Now plug the value in the formula

\$"TSA" = 2(5 times 8 + 5 times 16 + 16 times 8)\$

TSA = 2(40 + 80 + 128)

8

Step

After simplification we get

TSA = 496

9

Step

The surface area of cuboid is

496 sq.meters

10

Step

To find the total surface area and volume of a cuboid, you can use the following formulas

V = lwh

11

Step

Now plug the value in the formula

V = \$5 times 8 times 16\$

v = 640

12

Step

The volume of the cuboid is 640 cubic.meters

13

SumUp

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

14

Choice.A

The given option exactly matches the surface area and volume of the cuboid. Therefore, it is the correct option

640 \$meters^3\$ and 496 sq.meters

15

Choice.B

The given option does not match the surface area and volume of the cuboid. Therefore, it is the incorrect option

646 \$meters^3\$ and 490 sq.meters

16

Choice.C

The given option does not match the surface area and volume of the cuboid. Therefore, it is the incorrect option

696 \$meters^3\$ and 440 sq.meters

17

Choice.D

The given option does not match the surface area and volume of the cuboid. Therefore, it is the incorrect option

644 \$meters^3\$ and 499 sq.meters

18

Answer

Option

A

19

SumUp

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


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