To find volume of the 3D shape, we will use the formula
= Base area x height
For the answer, we will use cubic units.
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Area of square base x height Area of square = a2 Volume of cube = a3 |
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Area of rectangle x height Area of rectangle = l x w Volume = lwh |
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= Area of triangle x height |
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= Area of pentagon x height Area of pentagon = (3√3/2)a2 Volume = (3√3/2)a2 h |
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= Area of circular base x height Area of circle = πr2 Volume = πr2h |
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Volume = (1/3) base area x height |
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Volume = (1/3) base area x height = (1/3)πr2h |
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Volume = (4/3)πr3 |
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Volume = (2/3)πr3 |
Find the volume of the solid. If necessary, round your answer to the nearest whole number.
Problem 1 :
Solution :
By observing the figure, it is a rectangular prism.
Volume of the rectangular prism = length × Width × Height
We have,
Length = 9 in, Width = 4 in, and Height = 4 in
Volume = 9 × 4 × 4
= 144 in³
Problem 2 :
Solution :
By observing the figure, it is a triangular prism.
Volume of the triangular prism = Base area × Height
Length = 7 ft, Base = 6 ft, and Height = 10 ft
= 1/2 × 6 × 10 × 7
= 210 ft³
So, Volume of the triangular prisms is 210 ft³.
Problem 3 :
Solution :
By observing the figure, it is a cylinder.
Volume of the cylinder = πr²h
Given, Diameter (d) = 10 m,
Radius (r) = d/2 = 10/2
Radius (r) = 5 m
Height of the cylinder = 7m.
Volume = (22/7) (5)² (7)
= 22 × 25
= 550 m³
So, volume of the cylinder is 550 m³.
Problem 4 :
Solution :
By observing the figure, it is a rectangular pyramid.
Volume of the rectangular pyramid = 1/3 × base area × Height
Length = 10 ft, Width = 10 ft, and Height = 12 ft
Volume = 1/3 × 10 × 10 × 12
V = 400 ft³
So, Volume of the pyramid is 400 ft³.
Problem 5 :
Solution :
By observing the figure, it is a Sphere.
Volume of the sphere = 4/3 πr³
Given, diameter (d) = 16 m
Radius (r) = d/2 = 16/2
r = 8 m
Volume = (4/3) (22/7) (8)³
= (4/3) (22/7) (512)
V = 2145 m³
So, volume of the sphere is 2145 m³.
Problem 6 :
Solution :
By observing the figure, it is a cone.
Volume of the cone = 1/3 πr²h
Radius (r) = 3 in, Height (h) = 5 in
Volume of the cone = (1/3) (22/7) (3)² (5)
= 330/7
V = 47 in³
So, Volume of the cone is 47 in³.
May 21, 24 08:51 PM
May 21, 24 08:51 AM
May 20, 24 10:45 PM