Surface Area
Volume
Miscellaneous
100

A right square pyramid has a slant height of 10 cm and a base side length of 8 cm. Find the surface area

SA = 4 x (1/2 x b x h) + b^2

SA = 4 x (1/2 x 8 x 10) + 8^2

SA = 224 cm^2

100

What is the volume of a pyramid with a height of 10ft. and two bases of 8ft. and 12ft.?

Volume = (1/3)b x h = (1/3)(8)(12) x (10) = 32 x 10 = 320 ft.^3

100

What is the complete full name of your Mathematics teacher?

Jeffrey Castro Garlejo

200

A right cone has a base radius of 2 ft and a slant height of 7 ft. Calculate the surface area of this cone

SA = pi x r x s + pi x r^2

SA = pi x 2 x 7 + pi x 2^2

SA = 56.548 ft^2

200

What is the volume of a cylinder with a height of 6m and a radius of 6m?

Volume = (pi)(r^2) x Height = (pi)(6^2) x 6 = 36pi x 6 = 216pi = 678.2 m^3

200

Where to find the ancient pyramids?

Giza, Egypt

300

A right square pyramid has a base of 14 cm and a height of 24 cm . Find the surface area.

slant height = square root of 24^2 + 7^2 = square root of 625 = 25 cm

SA = 4 (1/2 x 14 x 25) + 14^2

SA = 896 cm^2

300

Determine the volume of a right rectangular pyramid with the base dimensions 5.4cm by 3.2cm and height 8.1cm

Volume = 1/3 x L x W x h = 1/3 (5.4cm) (3.2cm) (8.1cm) = 46.656cm^3

300

Is the amount of space an object occupies.

Volume

400

Determine the volume of this cone. height = 18in , diameter = 12in

Volume = 1/3 x pi x r^2 x h = 1/3 (pi) (6in^2) (18in) = 678.58in^3

400

Is the amount of material a container holds

Capacity

500

A cone has a height of 4 yd and a volume of 205 yd^3. Determine the radius of the base of the cone

Volume = 1/3 x pi x r^2 x h

205 = 1/3 x pi x r^2 x 4

radius or r = 6.995 or 7 yd

500

The ______________ of the cone is the perpendicular distance from the apex to the base

height

M
e
n
u