Question
What is the volume of a cube with side lengths of 3.5 cm?
A. 12.25 cm₃
B. 42.875 cm₃
C. 49 cm₃
D. 73.5 cm₃
A. 12.25 cm₃
B. 42.875 cm₃
C. 49 cm₃
D. 73.5 cm₃
Answers
Answer
Brady bought the fish tank above for his new pet goldfish. He wants to know the volume of the tank to see how much water it will take to fill it completely. What is the volume of the fish tank?
Numbers on the tank are 3 ft., 1.5 ft, and 2 ft.
__ft³
Numbers on the tank are 3 ft., 1.5 ft, and 2 ft.
__ft³
Answer
A block of sharp cheddar cheese is in the shape of a rectangular prism. If the cheese has a length of 6.5 inches, a height of 1.25 inches, and a width of 2 inches, what is the volume of the block of cheese?
A. 15 inches cubed
B. 47.25 inches cubed
C. 9.75 inches cubed
D. 16.25 inches cubed
A. 15 inches cubed
B. 47.25 inches cubed
C. 9.75 inches cubed
D. 16.25 inches cubed
Answer
Find the volume of the triangular prism above.
Numbers on the triangular prism are: 7 in., 13 in. and 18 in.
A. 1,638 cubic inches
B. 819 cubic inches
C. 591.5 cubic inches
D. 3,276 cubic inches
Numbers on the triangular prism are: 7 in., 13 in. and 18 in.
A. 1,638 cubic inches
B. 819 cubic inches
C. 591.5 cubic inches
D. 3,276 cubic inches
Answer
Find the volume of the triangular prism above.
Numbers on the triangular prism are: 7 in., 13 in. and 18 in.
A. 1,638 cubic inches
B. 819 cubic inches
C. 591.5 cubic inches
D. 3,276 cubic inches
(pick one of these answers)
Numbers on the triangular prism are: 7 in., 13 in. and 18 in.
A. 1,638 cubic inches
B. 819 cubic inches
C. 591.5 cubic inches
D. 3,276 cubic inches
(pick one of these answers)
Answer
Find the volume of the triangular prism above.
Base: 13 in.
Height: 7 in.
Length: 18 in.
A. 1,638 cubic inches
B. 819 cubic inches
C. 591.5 cubic inches
D. 3,276 cubic inches
(pick one of these answers)
Base: 13 in.
Height: 7 in.
Length: 18 in.
A. 1,638 cubic inches
B. 819 cubic inches
C. 591.5 cubic inches
D. 3,276 cubic inches
(pick one of these answers)
Answered by
GPT 3.5
The volume of a cube is calculated by cubing the length of one of its sides.
Volume = side length³
Volume = 3.5 cm x 3.5 cm x 3.5 cm
Volume = 42.875 cm³
So, the correct answer is:
B. 42.875 cm³
Volume = side length³
Volume = 3.5 cm x 3.5 cm x 3.5 cm
Volume = 42.875 cm³
So, the correct answer is:
B. 42.875 cm³
Answered by
GPT 3.5
To find the volume of the fish tank, you need to multiply the three measurements together.
Volume = 3 ft x 1.5 ft x 2 ft
Volume = 9 ft³
Therefore, the volume of the fish tank is 9 ft³.
Volume = 3 ft x 1.5 ft x 2 ft
Volume = 9 ft³
Therefore, the volume of the fish tank is 9 ft³.
Answered by
GPT 3.5
To find the volume of the block of cheese, you need to multiply the length, height, and width together.
Volume = length x height x width
Volume = 6.5 in x 1.25 in x 2 in
Volume = 16.25 in³
Therefore, the volume of the block of cheese is 16.25 inches cubed.
The answer is:
D. 16.25 inches cubed.
Volume = length x height x width
Volume = 6.5 in x 1.25 in x 2 in
Volume = 16.25 in³
Therefore, the volume of the block of cheese is 16.25 inches cubed.
The answer is:
D. 16.25 inches cubed.
Answered by
GPT 3.5
To find the volume of a triangular prism, you need to first calculate the area of the triangular base and then multiply it by the height of the prism.
Given that the triangular base has sides of 7 in, 13 in, and 18 in, we can first calculate the area of the base using Heron's formula:
Semi-perimeter, s = (7 + 13 + 18) / 2 = 19.5
Area = √(s(s-7)(s-13)(s-18))
Area = √(19.5(19.5-7)(19.5-13)(19.5-18))
Area = √(19.5*12.5*6.5*1.5)
Area = √(1516.875)
Area ≈ 38.9 square inches
Now, to find the volume of the prism, we multiply the area of the base by the height of the prism. The height is not given in the question.
Therefore, without knowing the height of the triangular prism, we cannot calculate the volume accurately. The options provided are incorrect as a result.
Given that the triangular base has sides of 7 in, 13 in, and 18 in, we can first calculate the area of the base using Heron's formula:
Semi-perimeter, s = (7 + 13 + 18) / 2 = 19.5
Area = √(s(s-7)(s-13)(s-18))
Area = √(19.5(19.5-7)(19.5-13)(19.5-18))
Area = √(19.5*12.5*6.5*1.5)
Area = √(1516.875)
Area ≈ 38.9 square inches
Now, to find the volume of the prism, we multiply the area of the base by the height of the prism. The height is not given in the question.
Therefore, without knowing the height of the triangular prism, we cannot calculate the volume accurately. The options provided are incorrect as a result.
Answered by
GPT 3.5
To find the volume of a triangular prism, you need to calculate the area of the triangular base and then multiply it by the height of the prism.
First, calculate the area of the triangular base using Heron's formula:
Semi-perimeter, s = (7 + 13 + 18) / 2 = 19
Area = √(s(s-7)(s-13)(s-18))
Area = √(19(19-7)(19-13)(19-18))
Area = √(19*12*6*1)
Area = √(1368)
Area ≈ 36.97 square inches
Now, multiply the area of the base by the height of the prism to find the volume:
Volume = 36.97 in² x height
We do not have the height of the prism provided in the given information, so we cannot calculate the exact volume. However, based on the information given, we know that the volume will be in cubic inches.
Therefore, without the height of the triangular prism, we cannot calculate the volume accurately. However, if we know the height, we can proceed to find the volume by multiplying the area of the base by the height.
First, calculate the area of the triangular base using Heron's formula:
Semi-perimeter, s = (7 + 13 + 18) / 2 = 19
Area = √(s(s-7)(s-13)(s-18))
Area = √(19(19-7)(19-13)(19-18))
Area = √(19*12*6*1)
Area = √(1368)
Area ≈ 36.97 square inches
Now, multiply the area of the base by the height of the prism to find the volume:
Volume = 36.97 in² x height
We do not have the height of the prism provided in the given information, so we cannot calculate the exact volume. However, based on the information given, we know that the volume will be in cubic inches.
Therefore, without the height of the triangular prism, we cannot calculate the volume accurately. However, if we know the height, we can proceed to find the volume by multiplying the area of the base by the height.
Answered by
GPT 3.5
To find the volume of the triangular prism, you first need to calculate the area of the triangular base, and then multiply it by the length of the prism (which is the height in this case).
The base of the triangular prism is a triangle with base 13 inches and height 7 inches:
Area = (1/2) * base * height
Area = (1/2) * 13 in * 7 in
Area = 45.5 square inches
Now, multiply the area of the base by the length of the prism (height of the prism):
Volume = Area of base * Length
Volume = 45.5 in² * 18 in
Volume = 819 cubic inches
Therefore, the volume of the triangular prism is 819 cubic inches.
The correct answer is: B. 819 cubic inches.
The base of the triangular prism is a triangle with base 13 inches and height 7 inches:
Area = (1/2) * base * height
Area = (1/2) * 13 in * 7 in
Area = 45.5 square inches
Now, multiply the area of the base by the length of the prism (height of the prism):
Volume = Area of base * Length
Volume = 45.5 in² * 18 in
Volume = 819 cubic inches
Therefore, the volume of the triangular prism is 819 cubic inches.
The correct answer is: B. 819 cubic inches.
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