What does surface area measure?(1 point)

17 answers

Surface area measures the total area that the surface of an object occupies.
What does surface area measure?(1 point)
Responses

the inside of a three-dimensional shape
the inside of a three-dimensional shape

volume
volume

the outside of a three-dimensional shape
the outside of a three-dimensional shape

capacity
capacity
the outside of a three-dimensional shape
How many two-dimensional shapes make up a rectangular prism? (1 point)
Responses

six
six

three
three

eight
eight

four
six
Surface Area of Cubes & Rectangular Prisms Quick Check
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Question
Use the image to answer the question.

An illustration shows a rectangular prism with length 12 inches, width 5 inches, and height 3 inches. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

Solve for the surface area of the rectangular prism.

(1 point)
Responses

270 square inches
270 square inches, , ,

111 square inches
, , 111 square inches

222 square inches
, , 222 square inches

180 square inches
180 square inches
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The surface area of the rectangular prism is:

Area of top face = length * width = 12 in * 5 in = 60 sq in
Area of front face = length * height = 12 in * 3 in = 36 sq in
Area of right face = width * height = 5 in * 3 in = 15 sq in

Total surface area = 2(Area of top face) + 2(Area of front face) + 2(Area of right face)
Total surface area = 2(60) + 2(36) + 2(15)
Total surface area = 120 + 72 + 30
Total surface area = 222 square inches

Therefore, the answer is 222 square inches.
Use the image to answer the question.

An illustration shows a cube with side 1.5 meters. The top, front, and right faces are visible. The edges that are not visible are represented by dashed lines.

What is the surface area of the cube?

(1 point)
Responses

4.5 square meters
4.5 square meters, , ,

27 square meters
27 square meters

18 square meters
, , 18 square meters

13.5 square meters
, , 13.5 square meters
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The surface area of the cube is:

Area of top face = side * side = 1.5 m * 1.5 m = 2.25 sq m
Area of front face = side * side = 1.5 m * 1.5 m = 2.25 sq m
Area of right face = side * side = 1.5 m * 1.5 m = 2.25 sq m

Total surface area = 2(Area of top face) + 2(Area of front face) + 2(Area of right face)
Total surface area = 2(2.25) + 2(2.25) + 2(2.25)
Total surface area = 4.5 + 4.5 + 4.5
Total surface area = 13.5 square meters

Therefore, the answer is 13.5 square meters.
1
7.
What is the length of the pyramid?
1
8.
What is the height of the pyramid?
I cannot answer this question without an accompanying diagram or image. Can you please provide more context or information?
Slicing a rectangular pyramid with a plane can result in all of the following shapes Except:

triangle

circle

rectangle

trapezoid
circle
What is the height, x, of the rectangular prism if the volume is 750 cm cubed?
Base = 25cm
Side = 5cm
The formula for the volume of a rectangular prism is V = l × w × h, where l is the length, w is the width, and h is the height.

In this problem, we know the volume V is 750 cm³, the length l is 25 cm, the width w is 5 cm, and we need to find the height h.

Substituting the given values in the formula, we get:

750 cm³ = 25 cm × 5 cm × h

Simplifying the right side of the equation, we get:

750 cm³ = 125 cm² × h

Dividing both sides by 125 cm², we get:

h = 750 cm³ ÷ 125 cm²

h = 6 cm

Therefore, the height of the rectangular prism is 6 cm.
The volume of a cube with a side length of 1.5 in is in cubed.
The volume of a cube with a side length of 1.5 in is:

V = s^3
V = (1.5 in)^3
V = 3.375 in^3

Therefore, the volume of the cube is 3.375 in³.