Unit Conversions
Convert 5.8 km to cm
5800 cm
A sphere has diameter 4 cm. What is the surface area of the sphere? Round to the nearest tenth.
The surface area of the sphere is 50.3 cm2
The volume of the sphere is 82.3 yd3
A road rises 15 m for each 150 m of horizontal distance. What is the angle of inclination of the road to the nearest degree?
The angle of inclination of the road is 6 degrees.
Which number is rational?
a. square root of 0.09
b. square root of 50
c. pi
Square root of 0.09 is rational.
Covert 7 yd. to in.
252 in.
A rectangular prism has a surface area of 324 ft2, a length of 13.5 ft. and a width of 4 ft. What is the height?
The height of the rectangular prism is 6 ft.
What is the volume of a triangular prism with a height 3 cm, a base length of 5cm and a side length 6 cm?
The volume of the triangular prism is 45 cm3
The tower is 327 m tall.
If the volume of a cube was 216 in3, is the edge length irrational or rational?
Rational
864 cm. to yd. Round to the nearest hundredth.
9.44 yd.
A cylinder has radius 8 m. and height 4 m. Find the surface area of this cylinder. Round to the nearest tenth.
The surface area of the cylinder is 603.2 m2
What is the volume of a cylinder with a diameter of 6 in. and a height of 5 in? Round to the nearest tenth.
The volume of the cylinder is 141.4 in3
During a storm, a 10 m telephone pole was blown off its vertical position. The top of the pole was then 9 above the ground. What was the angle of inclination of the pole from the ground, to the nearest tenth of a degree?
The angle of inclination of the pole was 64.2 degrees.
Evaluate (-4)(-2) without using a calculator.
1/16
574 in. to yards, feet, and inches.
15 yards, 2 feet, and 8.4 inches.
A cone has a base radius of 2 ft. and a height of 7 ft. Calculate the surface area of this cone to the nearest square foot.
The surface area of the cone is approximately 58 square feet.
The radius of a cone is 4 ft. and the slant height is 17 ft. What is the volume of the cone? Round to the nearest tenth.
The volume of the cone is 276.8 ft2
In Italy, the Leaning Tower of Pisa currently leans 13 ft. off the vertical. The tower is 183 ft. tall. What is its angle of inclination to the nearest tenth of a degree?
What is 44(3/2) as a radical in simplest form?
2 times the square root of 11.
David has 10 yd. of material that he will cut into strips 15 in. wide to make mats. How many mats can David make?
David can make 24 mats.
A tetrahedron has a slant height of 7.8 cm. and a base of 9.0 cm. What is the surface area of this tetrahedron? Round to the nearest square cm.
The surface area of the tetrahedron is approximately 140 cm2.
The volume of the square pyramid is 400 ft3
A fire ranger is at the top of a 90 ft. observation tower. She observes smoke due east at an angle of depression of 5 degrees and due west at an angle of depression of 4 degrees. How far apart are the fires to the nearest foot?
The fires are 2316 ft. apart.
Scientists used the formula d=0.099m(9/10) to calculate the volume of the water, d litres, that a mammal with mass m kilograms should drink in 1 day. Calculate how much water a 450 kg moose should drink in 1 day to the nearest tenth.
A 450 kg moose should drink 24.2 litres of water in 1 day.