How many sides make up the total surface area of a box?
A
3
B
4
C
5
D
6
7 answers
D. 6
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
�
�
.
2
in.
2
A
60
�
�
.
2
in.
2
B
64
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.
2
in.
2
C
70
�
�
.
2
in.
2
D
94
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.
2
in.
2
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.
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.
What is the volume of the box below?
A
15
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�
.
3
cm.
3
B
20
�
�
.
3
cm.
3
C
120
�
�
.
3
cm.
3
D
148
�
�
.
3
cm.
3
A
15
�
�
.
3
cm.
3
B
20
�
�
.
3
cm.
3
C
120
�
�
.
3
cm.
3
D
148
�
�
.
3
cm.
3
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.
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.
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.
�
�
.
2
in.
2
?
A
4 in.
B
12 in.
C
16 in.
D
24 in.
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.
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.