Area, Surface Area, Volume

Area

100

What "dimension" are the units of area?

Square Units or Units²

200

A triangle has a height of 6 in and base length of 10 in. What is its area?

(Must include correct units!)

30 in²

300

A trapezoid has bases of lengths 12 cm and 24 cm, and an altitude of length 10 cm. What is its area?

(Must include units!)

180 cm²

400

A circular pond has a radius of 20 feet, and a path around the pond has a width of 5 feet. 

What is the area of the path around the pond? (In terms of pi)

(Its a ring shape!)

225pi ft²

500

The area of a circle is 100pi cm². What is its diameter?

20 cm

Geometric Solids

100

I have 2 bases and rectangular lateral faces.

What am I?

Prism!

200

I have one base and triangular lateral faces that meet at one vertex. What am I?

Pyramid!

300

I have one base, one edge, and maybe one vertex??

What am I?

Cone!

400

My lateral face is rectangular, but my two bases are congruent circles. What am I?

Cylinder!

500

I have no edges or vertices, and just one face. What am I?

Sphere!

Surface Area

100

Surface area includes every face of a solid. What do we call it when we do not include the areas of the bases?

Lateral Area

200

To find the surface area of a rectangular prism, we would add up the areas of how many individual rectangles?

6

300

A cylindrical barrel has a radius of 2 feet and a height of 4 feet. What is its total surface area?

24pi ft²

400

A cone has a slant height of 10 in and a base radius of 3 in. What is its lateral area?

30pi in²

500

A sphere has a surface area of 400pi cm². What is its radius?

10 cm

Volume

100

What "dimension" are the units of volume?

Cubic units or units³

200

What is the volume of a rectangular prism with length 10cm, height 5cm, and width 2cm?

(Include proper units!)

100 cm³

300

A cylinder has a radius of 3 feet and a height of 4 feet. Find the volume.

113.1 cubic feet

400

Find the radius of a cylinder with a height of 8 cm and a volume of 508.94 cubic cm.

4.5 cm

500

The volume of a cone is 50.3 cubic centimeters. Find the slant height if the radius is 4 centimeters.

5 centimeters

Miscellaneous

100

What is the volume of a cube with side length 7 cm?

343 cm³

200

Name two key differences between prisms and pyramids.

1) The number of bases (2 vs. 1)

2) The shape of the lateral faces (rectangles vs. triangles)

300

If a cone and a cylinder have the same radius and height, then how many cones of water will fill the cylinder?

3

400

The diameter of a ball is about 20 in. What is its volume?

(Must include units!)

4188.79 in³

500

A rectangular table has length 5 feet and width 4 feet. If I cut out a circle of diameter 24 inches from the center of the table, what is the area of the remaining table?

20 - pi ft²

or around 16.86 ft²