Defining Volume, Surface Area, and Circles
Calculating Volume
Volume, Surface Area, & Circles
Circles
Formulas
100
True or False: Volume is the amount of space that an object takes up.
True
100
What is the volume of this figure?
6 x 3 x 4 = 72 cm3
100
Find the volume of a rectangular prism with the following dimensions:
L - 2 cm, W - 3 cm, H - 6 cm
36 cm3
100
A circle has a radius of 17, what is its diameter?
34
100
What is the word we use to describe the amount covered in a 2D shape (length x width)?
area
200
The formula for volume of any rectangular prism is:
Volume = length x width x height
OR
Volume = area of the base x height
200
B. 60 cubic inches
200
A cube has a edge length of 2 inches. What is its surface area?
24 square inches
One face is 2x2 or 4 in2. Six faces x 4 in2 per face means 4 x 6 = 24 in2.
200
A circle has a diameter of 119 inches, what is its radius?
59.5 inches
200
What is the formula for the Volume of any 3 dimensional object?
Length x Width x Height
or
Base x Height
300
What is the formula for surface area of a rectangular prism?
300
The volume of a prism is 60 m3. The length is 10 m and the width is 3 m. What is the height?
10 x 3 x ?= 60
30 x ? = 60
The height is 2 m.
300
The base of a rectangular prism is 82m2 and the width is 4 m. What is the volume of this prism?
82 x 4 = 328 m3
300
Using pi x r2, a circle's area is 3.14 x 72. What is the circle's diameter in meters?
The diameter of the circle is 14 meters.
300
Volume is measured in:
A. Lines
B. Squared units
C. Cubic units
C: Cubic units
400
What is the formula for finding the volume of a cylinder?
V = Area of Circle x Height OR V= pi x r2 x h
400
What is the volume of this prism?
Length 12 units
Width 12 units
Height 11 units
1,584 cubic units
400
The area of a circle is 78.5 in2. What is the circle's diameter?
78.5 divided by 3.14 is 25. The square root of 25 is 5. 5 times 2 is the DIAMETER OF 10.
400
What is the circumference of a circle with a radius of 5 meters? (You must state the correct unit of measure!)
31.4 meters
400
What is area measured in (what units)?
square units
500
What is the formula for finding the volume of a triangular prism?
Volume = Area of the triangular base x height
OR
Volume = (1/2 b x h) x h
500
I made a tower in the shape of a triangular prism out of blocks. The base of the triangle was 4 cm, the triangle's height was 3 cm, and height of the prism was 8 cm. What was the volume of the figure?
48 cubic cm
500
The volume of a rectangular prism is 50 m3. What could the dimensions (length, width, and height) be? There is more than one correct answer!
25m x 2m x 1m
5m x 5m x 2m
10m x 5m x 1m
500
The diameter of a circle is 20 feet, what is its area? remember to use the correct unit of measure and use 3.14 for pi)
314 ft2
500
The formula for surface area of a cylinder is:
A. 2(lw) + 2(lh) + 2(wh)
B. (1/2 x bh) x h
C. 2(3.14 x r2) + (3.14 x d x h)
C. 2(3.14 x r2) + (3.14 x d x h)