Vocabulary
Formulas
Surface Area
Volume
Word Problems
100
a solid; a figure that does not lie in a plane. 
What is a 3-D Figure? 
100
found by multiplying the base times height.
What is the area of a parallelogram? 
100
a rectangular prism has a height of 5 inches, a width of 3 inches, and a length of 7 inches, what is the surface area?

What is 142 in2

100
A soda can is 6 inches tall and has a diameter of 2 inches. What is the volume of the can?  

What is 18.84 in3

100

A cosmetics company that makes small cylindrical bars of soap wraps the bars in plastic prior to shipping. Find the surface area of a bar of soap if the diameter is 5 cm and the height is 2 cm. Use 3.14 for π.

What is 70.65 cm2

200
a two-dimensional pattern that you can fold to form a three-dimensional figure. 
What is a net? 
200
found by multiplying pi times twice the radius. 
What is the circumference?
200
A triangular prism has a height of 24 cm, and the triangular base has a height of 12 cm with a base of 10 cm. What is the surface area? 

What is 984 cm2

200
A triangular prism has a height of 1.7 cm and the triangular base is 3.5 cm wide by 6.8 cm tall. What is the volume of the prism? 

What is 20.23 cm3

 
200

Chloe wants to wrap a present in a box for Sarah. The top and bottom of the box is 8 in. by 3 in., the sides are both 3 in. by 2 in. and the front and back are 8 in. by 2 in. How much wrapping paper will Chloe need to wrap the present? 

What is 92 in2

300
the sum of the area of the faces. 
What is surface area? 
300
found by multiplying the length, width, and height. 
What is the volume of a rectangular prism?
300
A box of paper clips has the dimensions of 4 in wide, 4 in long, and 3 in tall. How much paper would it take to cover the outside of the entire box? 

What is 80 in2

300

A triangular prism has a volume of 7m3. The prism is 3.7 m tall, and the triangular base has a height of 1.8m. What is the length of the base of the triangle. 

What is 2.1m?
300

How much salt is needed to fill a pit that is 10m deep and 8m wide and 12 m long?

What is 960 m2

400

of a three-dimensional figure is the number of cubic units needed to fill the space inside the figure.

What is volume? 
400
found by multiplying the base and height of a triangle by one half then multiplying by the height of the prism. 
What is the volume of a triangular prism?
400
A cylinder has a radius of 7 inches and a height of 16 inches. 

What is 1011.08 inches2

400

A grain storage, in the shape of a circular cylinder is 4 feet long in diameter and has a height of 6 feet. Find the volume of the storage.


What is 75.36 ft3

400

A cylinder has a radius of 3 inches and a height of 14 inches. What is the volume of this cylinder?

What is 395.64 in3

500

the two-dimensional shape that you can see after slicing through a three-dimensional object.

What is a cross section?
500
found by multiplying pi by the square of the radium and the height. 
What is the volume of a cylinder?
500

A painter uses a roller to paint a wall. The roller has a radius of 5 inches and a height of 13 inches. In one roll, what is the area of the wall that he will paint? What is the surface area of the paint roller? 


What is 486.7 in2

500

A cylinder has a surface area of 1850 square meters and a radius of 9 meters. What is the volume of the cylinder to the nearest whole number?

What is 7121.52 m3

500

A rectangular sheet of wood is cut to make a box of length 22 cm and width 13 cm with a volume of 8294 cm3. Find the height of the box.

What is 29cm?
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