APPLIED MATHEMATICS UNIT 3 EXAM WITH CORRECT
ANSWERS #3
A rectangular prism has a height of 6 inches, a width of 20 in., and a length of 25 in.
What is the surface area of the rectangular prism in in^2? - correct answer 1540 in^2
An artist wants to paint a scale drawing of a mural. The mural has a length of 160 feet
and a width of 75 ft.
If the length of the painting is 32 inches and the width is 15 in., what is the scale factor?
- correct answer 1/5
A square pyramid has a height of 25 feet and each side of the base has a length of 15
ft.
If a model of the square pyramid is scaled down by a factor of 1/5, what is the surface
area of the model? - correct answer 40.32 ft^2
A cylinder has a height of 5 feet and a radius of 2 ft.
If a scale model of the cylinder is scaled up by a factor of 3, what is the surface area of
the model? - correct answer 791.68 ft^2
A circular cone structure has a height of 50 feet and a radius of 15 ft. An artist creates a
replica of the structure that has been scaled down by a factor of 1/5.
What is the volume of the replica in ft^3? - correct answer 94.25 ft^3
A sphere has a radius of 9 inches. An artist creates a replica of the structure that has
been scaled up by a factor of 1.5. What is the volume of the replica in in.^2? - correct
answer 10,305.99 in^3
A 30-60-90 triangle has a hypotenuse with a length of 10 feet. What are the lengths of
the short leg and the medium leg? - correct answer the short leg has a length of 5 ft
The medium leg has a length of 8.66 ft
A 45-45-90 triangle has a hypotenuse with a length of 10 feet. What are the lengths of
the other legs? - correct answer 7.07 ft
A ramp is built in the shape of a right triangle. The hypotenuse of the ramp is 17 feet
and the length of one leg is 8 feet. What is the length of the other leg? - correct answer
15 ft
A right triangle has legs with lengths of 7 inches and 8.5 inches. Which expression, and
which value, depicts the length of the hypotenuse? - correct answer 11.01 ft
ANSWERS #3
A rectangular prism has a height of 6 inches, a width of 20 in., and a length of 25 in.
What is the surface area of the rectangular prism in in^2? - correct answer 1540 in^2
An artist wants to paint a scale drawing of a mural. The mural has a length of 160 feet
and a width of 75 ft.
If the length of the painting is 32 inches and the width is 15 in., what is the scale factor?
- correct answer 1/5
A square pyramid has a height of 25 feet and each side of the base has a length of 15
ft.
If a model of the square pyramid is scaled down by a factor of 1/5, what is the surface
area of the model? - correct answer 40.32 ft^2
A cylinder has a height of 5 feet and a radius of 2 ft.
If a scale model of the cylinder is scaled up by a factor of 3, what is the surface area of
the model? - correct answer 791.68 ft^2
A circular cone structure has a height of 50 feet and a radius of 15 ft. An artist creates a
replica of the structure that has been scaled down by a factor of 1/5.
What is the volume of the replica in ft^3? - correct answer 94.25 ft^3
A sphere has a radius of 9 inches. An artist creates a replica of the structure that has
been scaled up by a factor of 1.5. What is the volume of the replica in in.^2? - correct
answer 10,305.99 in^3
A 30-60-90 triangle has a hypotenuse with a length of 10 feet. What are the lengths of
the short leg and the medium leg? - correct answer the short leg has a length of 5 ft
The medium leg has a length of 8.66 ft
A 45-45-90 triangle has a hypotenuse with a length of 10 feet. What are the lengths of
the other legs? - correct answer 7.07 ft
A ramp is built in the shape of a right triangle. The hypotenuse of the ramp is 17 feet
and the length of one leg is 8 feet. What is the length of the other leg? - correct answer
15 ft
A right triangle has legs with lengths of 7 inches and 8.5 inches. Which expression, and
which value, depicts the length of the hypotenuse? - correct answer 11.01 ft
