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To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.
\text{Volume of rectangular prism}=Volume of rectangular prism=V, o, l, u, m, e, space, o, f, space, r, e, c, t, a, n, g, u, l, a, r, space, p, r, i, s, m, equals \text{length}\times\text{width}\times\text{height}length×width×heightl, e, n, g, t, h, times, w, i, d, t, h, times, h, e, i, g, h, t
Want to learn more about finding volume of rectangular prisms? Check out this video.
Example 1:
\text{Volume}=\text{length}\times\text{width}\times\text{height}Volume=length×width×heightV, o, l, u, m, e, equals, l, e, n, g, t, h, times, w, i, d, t, h, times, h, e, i, g, h, t
\phantom{\text{Volume}}=3\times2\times3Volume=3×2×3empty space, equals, 3, times, 2, times, 3
\phantom{\text{Volume}}=18\text{ cubic units}Volume=18 cubic unitsempty space, equals, 18, space, c, u, b, i, c, space, u, n, i, t, s
Example 2:
\text{Volume}=\text{length}\times\text{width}\times\text{height}Volume=length×width×heightV, o, l, u, m, e, equals, l, e, n, g, t, h, times, w, i, d, t, h, times, h, e, i, g, h, t
\phantom{\text{Volume}}=6\times5\times7Volume=6×5×7empty space, equals, 6, times, 5, times, 7
\phantom{\text{Volume}}=210\text{ cubic units}Volume=210 cubic units
Given:The figure is a solid made up of two cylinders and an cuboidal prism
For the two cylinders,
Diameter =7 inch
i. e. Radius of the cylinder is 3.5 inch
Height of the cylinder is 15 inch
For cuboidal prism,
Length (l) =Breadth(b) =25 inch
Height (h) =5 inch
To find :volume of the given solid =?
Soln:
Find
Volume of a cylinder
Then multiply it by 2 since there are two
Cylinders of equal measures
Then find out the volume of the cuboidal prism by using the formula, L×B×H
Then add all the volumes
You will receive the answer