The volume of this rectangular prism is 17,136 cubic inches. What is the value of q?
all sides have the same value.
Answers
Answer:
Volume is the amount of 3-dimensional space an object occupies. Volume is measured in cubic units.
For example, the rectangular prism below has a volume of 181818 cubic units because it is made up of 181818 unit cubes.
Finding volume of a rectangular prism
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=start text, 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, end text, equals \text{length}\times\text{width}\times\text{height}length×width×heightstart text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
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×heightstart text, V, o, l, u, m, e, end text, equals, start text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
\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, start text, space, c, u, b, i, c, space, u, n, i, t, s, end text
Example 2:
\text{Volume}=\text{length}\times\text{width}\times\text{height}Volume=length×width×heightstart text, V, o, l, u, m, e, end text, equals, start text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text
\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