Vocabulary and Characteristics
Area
Volume
Surface Area
Applications
100

These are flat surfaces on a solid shape.

What are faces?

100

Find the area of a triangle with a base of 5cm and a height of 4cm.

What is 10 square cm?

100
Find the volume of a rectangular prism whose base has the length of 8in. and the width of 4in. and a height of 10in.
What is 320 cubic inches.
100
Find the surface area of a rectangular prism with sides 10cm, 2cm, and 4 cm.
What is 136 square cm?
100

You need to wrap a gift for your cousin’s birthday. Your box has the dimensions of 15 in x 4 in x 11 in. How much paper do you need if you do not have any of the paper overlapping?

What is 538 in2?

200
This is the point where three or more edges meet on a solid figure.
What is a vertex?
200
Find the area of a parallelogram whose base is 9in. and height is 14 in.
What is 126 square inches?
200
Find the volume of a rectangular prism with sides 3 in, 4in, 5in..
What is 60 cubic inches?
200
Find the surface area of a cube with sides 7cm long.
What is 294 square cm?
200

Mia is making a birdhouse in the shape of a right, rectangular pyramid with a square base that measures 10 cm by 10 cm. The triangular faces have a slant height of 18 cm. How many square centimeters of wood will Mia need to paint once she is done constructing the bird house assuming she paints all faces?

What is 460 cm2?

300
The number of faces on a triangular pyramid.
What is 4?
300

Find the area of an isosceles trapezoid with bases of 12 and 6 inches long, and a height of 4 inches. 

What is 36 cm2?

300
Find the volume of a cube with sides measuring 4.2m (round to nearest whole number).
What is 74 cubic meters?
300
The surface area of rectangular prism with sides 16 m, 10m, and 5 m.
What is 580 square m?
300

A fish tank is in the shape of a right rectangular prism with the dimensions 18"x16"x12". The maker of the tank advertises that it holds 15 gallons of water. If there are 231 cubic inches per gallon, is the maker of the tank accurately stating the volume? Justify your answer to get the points!

No. The fish tank holds 3456 in3, but 15 gallons is equivalent to 3465 in3. So close though!

400
The number of vertices on a rectangular prism.
What is 8?
400

Find the area of a circle with a diameter of 14 inches.

What is 153.86 in2?

400
Find the volume of a rectangular prism whose measures are 16 in, 20in, and 12 in.
What is 3,840 cubic inches?
400
Surface area of rectangular prism with sides 80 in, 36 in, and 2 in.
What is 6,224 square inches?
400

The Great Pyramid of Giza in Egypt has a square base that measures 756 feet on a side and a height of 481 feet tall. To the nearest million cubic feet, what is the volume of the Great Pyramid?

What is 92 million cubic feet?

500

What are always the units for area? 

What are always the units for volume?

What are: square units for area and cubic units for volume?

500

Find the surface area of a triangular prism whose rectangles have dimensions of 3x5  inches and triangles have a base of 5 inches and a height of 4 inches.

SA = 65 inches squared

500
Find the volume of a cylinder with a diameter of 26cm and a height of 14.5 cm and a circumference of 81.64cm (round to the nearest hundredth).
What is 7,694.57 cubic inches?
500

Find the surface area of a rectangular prism with sides 22cm, 10cm and 6cm.

What is 824 square cm?

500

If the total volume of a 3x3 Rubik’s cube is 2197 cm3, what is the length of one cube?

What is 4.33 cm?

(133=2197. If each side is 13 cm long, then each of the 3 cubes is 13/3=4.33 cm long.)

M
e
n
u