Volume
Surface Area
Trig Basics
Word Problems
Mixed
100
Find the volume of a rectangular prism with length 8 cm, width 5 cm, and height 4 cm.
160cm3
100
Find the surface area of a cube with side length 7 cm.
294 cm²
100
In a right triangle, sin(θ) = opposite/hypotenuse. True or False?
True
100
A fish tank measures 20 in by 10 in by 15 in. How much water can it hold?
3000 in³
100
What formula is used to find the volume of a sphere?
V = 4/3 πr³
200
Find the volume of a cylinder with radius 3 cm and height 10 cm. (Use π ≈ 3.14)
282.6 cm³
200
Find the surface area of a rectangular prism with dimensions 6, 4, and 3.
108 units²
200
.
Find the sine of angle Q
4/5
200
A cylindrical water tower has radius 12 ft and height 30 ft. Find the volume.
13,564.8 ft³
200
What trig ratio uses adjacent and hypotenuse?
Cosine
300
Find the volume of a sphere with radius 6 cm. (Use π ≈ 3.14)
904.32 cm³
300
Find the surface area of a cylinder with radius 5 cm and height 8 cm.
408.2 cm²
300
Find the missing side.
Opposite = 5, Hypotenuse = 13.
Find θ (nearest tenth).
22.6°
300
A ladder leans against a wall making a 65° angle with the ground. The ladder is 20 ft long. How high up the wall does it reach?
18.1 ft
300
Find the slant height of a cone with radius 5 and height 12.
13
400
Find the volume of a cone with radius 4 cm and height 9 cm.
150.72 cm³
400
Find the surface area of a sphere with radius 7 cm.
615.44 cm²
400
A right triangle has legs 9 and 12. Find the hypotenuse.
15
400
A cone-shaped cup has radius 3 cm and height 8 cm. How much liquid does it hold?
75.36 cm³
400
A square pyramid has a base side length of 8 cm and a height of 6 cm.
Find the slant height, then find the lateral surface area. Lateral means do not include the base in the surface area.
Slant height = 7.2 cm
Lateral surface area = 115.2 cm²
500
A square pyramid has a base side length of 10 cm and height 12 cm. Find the volume.
400 cm³
500
A cone has radius 6 cm and slant height 10 cm. Find total surface area.
301.44 cm²
500
Find the value of x and a to the nearest tenth.
x = 48.6 degrees
a = 26.5
500
From the top of a 50 ft building, the angle of depression to a car is 40°. How far is the car from the building?
59.6 ft
500
A right triangle has legs 9 and 40.
Find the hypotenuse.
Find sin(θ) where θ is the smaller acute angle.
Find the measure of θ to the nearest tenth.
Hypotenuse = 41
sin(θ) = 9/41
θ ≈ 12.7°