A rectangular prism has width w in centimetres, length 2 centimetres, and height 2 cm. A) draw a diagram of the prism. B) express the volume as a product. C) expand and simply the volume expression.
Answers
Answer:
Want to learn more about the concept of volume? Check out this video.
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 unitsempty space, equals, 210, start text, space, c, u, b, i, c, space, u, n, i, t, s, end text
Practice set 1: Finding volume by multiplying
PROBLEM 1A
What is the volume of the rectangular prism?
\text{cm}^3cm
3
start text, c, m, end text, cubed
Explain
Want to try more problems like this? Check out this exercise: Volume 1
Practice set 2: Finding volume with unit cubes
PROBLEM 2A
Unit cube:
What is the volume of the rectangular prism?
unit cubes
Explain
Want to try more problems like this? Check out these exercises:
Volume with unit cubes 1
Volume formula intuition
Practice set 3: Challenge items
PROBLEM 3A
The figure below is made up of 222 rectangular prisms.
What is the volume of this figure?
\text{cubic cm}cubic cm