Answer:
Step-by-step explanation:
The given figure is a cylinder, with a radius of 2 cm and a height of 5 cm.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Plugging in the values, we get:
V = π(2 cm)^2(5 cm)
= 20π cm^3
Therefore, the volume of the cylinder is 20π cubic centimeters.
The given figure is a rectangular prism, with a length of 10 cm, a width of 12 in, and a height of 8 in.
The units are not consistent, so we need to convert the inches to centimeters.
1 inch = 2.54 cm
Therefore, the dimensions of the rectangular prism in centimeters are:
Length = 10 cm
Width = 12 in × 2.54 cm/in = 30.48 cm
Height = 8 in × 2.54 cm/in = 20.32 cm
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
V = (10 cm)(30.48 cm)(20.32 cm)
= 6231.36 cm^3
Therefore, the volume of the rectangular prism is 6231.36 cubic centimeters.
The given figure is a triangular prism, with a base of 15 cm by 10 cm and a height of 12 cm.
The formula for the volume of a triangular prism is V = (1/2)Bh, where V is the volume, B is the area of the base, and h is the height.
To find the area of the base, we need to find the area of the triangle.
The area of a triangle is A = (1/2)bh, where b is the base and h is the height.
A = (1/2)(15 cm)(10 cm)
= 75 cm^2
Therefore, the area of the base is 75 square centimeters.
Plugging in the values to the formula for the volume of a triangular prism, we get:
V = (1/2)(75 cm^2)(12 cm)
= 450 cm^3
Therefore, the volume of the triangular prism is 450 cubic centimeters.
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Answers & Comments
Answer:
Step-by-step explanation:
The given figure is a cylinder, with a radius of 2 cm and a height of 5 cm.
The formula for the volume of a cylinder is V = πr^2h, where V is the volume, r is the radius, and h is the height.
Plugging in the values, we get:
V = π(2 cm)^2(5 cm)
= 20π cm^3
Therefore, the volume of the cylinder is 20π cubic centimeters.
The given figure is a rectangular prism, with a length of 10 cm, a width of 12 in, and a height of 8 in.
The units are not consistent, so we need to convert the inches to centimeters.
1 inch = 2.54 cm
Therefore, the dimensions of the rectangular prism in centimeters are:
Length = 10 cm
Width = 12 in × 2.54 cm/in = 30.48 cm
Height = 8 in × 2.54 cm/in = 20.32 cm
The formula for the volume of a rectangular prism is V = lwh, where V is the volume, l is the length, w is the width, and h is the height.
Plugging in the values, we get:
V = (10 cm)(30.48 cm)(20.32 cm)
= 6231.36 cm^3
Therefore, the volume of the rectangular prism is 6231.36 cubic centimeters.
The given figure is a triangular prism, with a base of 15 cm by 10 cm and a height of 12 cm.
The formula for the volume of a triangular prism is V = (1/2)Bh, where V is the volume, B is the area of the base, and h is the height.
To find the area of the base, we need to find the area of the triangle.
The area of a triangle is A = (1/2)bh, where b is the base and h is the height.
Plugging in the values, we get:
A = (1/2)(15 cm)(10 cm)
= 75 cm^2
Therefore, the area of the base is 75 square centimeters.
Plugging in the values to the formula for the volume of a triangular prism, we get:
V = (1/2)(75 cm^2)(12 cm)
= 450 cm^3
Therefore, the volume of the triangular prism is 450 cubic centimeters.