Step-5

Title: Three-dimensional (3D) shapes

Grade: 6-a Lesson: S4-L2

Explanation: Let us verify the answer here with the steps.

Lesson Steps Head1

Step Type Explanation Answer

1

Problem

A cube-shaped gift box with an open top. Each side of the cube has a length of 16 m. What is the surface area of the open-top gift box?

2

Step

The given values are

l = 16 m

3

Formula

Surface Area

\$"Surface area" = 6 times ("side length")^2\$

4

Step

Now, plug these values into the formula

\$"Surface Area of Cube" = 6 times (16)^2\$

5

Step

After simplification

The surface area of cube = 1536

6

Formula

Area of top

\$"A" = (s)^2\$

7

Step

Now, plug these values into the formula

\$"A" = 16^2\$

8

Step

After simplification

Area of top = 256 sq.cm

9

Step

Surface Area of Open-Top Gift Box

Surface Area of Cube - Area of Top

10

Step

Now, plug these values into the formula

1536 - 256 = 1280 sq.cm

11

Step

The surface area of the open-top gift box is 1280 sq.cm.

12

SumUp

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

13

Choice.A

Incorrect, as it is less than the correct surface area

1208 sq.cm

14

Choice.B

Incorrect, as it is greater than the correct surface area

1820 sq.cm

15

Choice.C

This option is correct because it accurately calculates the surface area of the open-top gift box with the given dimensions

1280 sq.cm

16

Choice.D

Incorrect, as it is less than the correct surface area

1028 sq.cm

17

Answer

Option

C

18

SumUp

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


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