Question

How many sides make up the total surface area of a box?

A
3

B
4

C
5

D
6

Answer 1

[AI-generated answer — Bot GPT 3.5]

D. 6

Answer 2

What is the surface area of the rectangular prism below?

A
60
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.
2
in.
​2
​​

B
64
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.
2
in.
​2
​​

C
70
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�
.
2
in.
​2
​​

D
94
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.
2
in.
​2
​​

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a rectangular prism, you need to calculate the area of each of the six faces and then sum them up.

Given that the dimensions of the rectangular prism are:
Length = 5 in
Width = 4 in
Height = 3 in

The surface area formula for a rectangular prism is:
2lw + 2lh + 2wh

Plugging in the values:
2(5)(4) + 2(5)(3) + 2(4)(3)
= 40 + 30 + 24
= 94 in^2

Therefore, the surface area of the rectangular prism is 94 in^2, so the answer is D. 94 in^2.

Answer 4

What is the volume of the box below?

A
15
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�
.
3
cm.
​3
​​

B
20
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.
3
cm.
​3
​​

C
120
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�
.
3
cm.
​3
​​

D
148
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�
.
3
cm.
​3
​​

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the volume of a box or rectangular prism, you multiply the length, width, and height together.

Given that the dimensions of the box are:
Length = 5 cm
Width = 4 cm
Height = 3 cm

The volume formula for a rectangular prism is:
Volume = length x width x height

Plugging in the values:
Volume = 5 cm x 4 cm x 3 cm
= 60 cm^3

Therefore, the volume of the box is 60 cm^3, so the answer is A. 60 cm^3.

Answer 6

What is the length of each side of a cube with the total surface area of 96

�
�
.
2
in.
​2
​​ ?

A
4 in.

B
12 in.

C
16 in.

D
24 in.

Answer 7

[AI-generated answer — Bot GPT 3.5]

To find the length of each side of a cube, given the total surface area, we first need to calculate the surface area of one face of the cube.

A cube has 6 faces, all of which are squares. Since all sides of a cube are equal in length, let's denote the length of each side of the cube as "s".

Given that the total surface area of the cube is 96 in^2:
Total surface area of a cube = 6s^2

We are also given that the total surface area is 96 in^2:
6s^2 = 96 in^2

Divide by 6 to find the surface area of one face:
s^2 = 16 in^2

Take the square root of both sides to find the length of each side:
s = √16
s = 4 in

Therefore, the length of each side of the cube is 4 in, so the answer is A. 4 in.