Geometry Jeopardy

Volume

Surface Area

Circles

100

A rectangular prism of volume 3200 mm3 has a rectangular base of length 10 mm and width 8 mm. Find the height h of the prism.

Volume is given by by
volume = length * width * height = 10 mm * 8 mm * h = 3200 mm3
Solve for h
h = 3200 mm3 / 80 mm2 = 40 mm

[ ANSWER IS 40 ]

100

Find the total surface area of a closed cylindrical container with radius 5 cm and a height of 34 cm.

The total surface area A of a cylinder is given by the sum of the area of the lateral surface plus the areas of the base and bottom of the container.
A = 2 × radius × π × height + π × radius2 + π × radius2
= 2 × 5 × π × 34 + π × 52 + π × 52
= 340 π + 25 π + 25 π = 390 π square centimeters
= 1224.6 square centimeters (using π = 3.14)

[ ANSWER IS 1224.6 ]

100

Find the area of a circle with a diameter of 10 inches.

78.55

200

The triangular base of a prism is a right triangle of sides a and b = 2a. The height h of the prism is equal to 10 mm and its volume is equal to 40 mm3, find the lengths of the sides a and b of the triangle.

4mm

200

Find the total surface area of the box open at the top.

Area of the open box is equal to
The areas of the front and back faces + the areas of the left and right faces + the area ot bottom
= 2(12 × 11) + 2(9 × 11) + 9 × 12 = 570 square cm

[ 570 SQUARE CM IS ANSWER ]

200

Find the area of a circle with a radius of 10 inches.

314.2 square inches

300

Find the volume of the given L-shaped rectangular structure.

24000mm³

300

Find the surface area of the triangular prism shown below. The height is 8, the length is 14, the width is 12, and the slant height is 10.

544 units²

400

Find x so that the volume of the U-shaped rectangular structure is equal to 165 cm3.

x= 5

400

Find the surface area of the cereal box. The height is 10cm, the width 20cm and the length is 5cm.

The surface area of the cereal box is 1700cm²

500

Find the volume of the hexagonal prism whose base is a regular hexagon of side x = 10 cm.

6235.4cm³

500

Find the surface area of the square pyramid shown below. The height is 6 and the length and width is 8.

160 units²