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Shape Heights Quiz

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Shape Heights Quiz

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About this activity

Height calculations across shapes

Created by

ROY JOHN DAVIS ELEMENTARY SCHOOL
ROY JOHN DAVIS ELEMENTARY SCHOOL
Philippines

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Shape Heights Quiz
 

Shape Heights QuizOnline version

Height calculations across shapes

by ROY JOHN DAVIS ELEMENTARY SCHOOL
1

What is the height of a parallelogram with base 8 cm and area 64 cm^2?

2

If a triangle has base 6 cm and area 54 cm^2, what is its height?

3

A trapezoid has bases 5 cm and 9 cm and area 68 cm^2. Find the height.

4

Parallelogram with base 10 cm and height 4 cm. What is the height?

5

A parallelogram with base 8 cm and side 6 cm forms a height of about what when angle is 60°?

6

Triangle with base 12 cm and area 30 cm^2. What is the height?

7

A trapezoid with bases 3 cm and 11 cm and area 70 cm^2. Height is?

8

Triangle with base 8 cm and area 32 cm^2. Height equals?

9

Parallelogram with base 9 cm and area 45 cm^2. Height is?

10

Trapezoid with bases 4 and 10 and height 6 cm. Area is 42 cm^2. Height is?

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Area = base × height, so height = 64/8 = 8 cm.

Area = ½ × base × height, so height = (2×54)/6 = 18 cm.

Area = ((b1+b2)/2)×height; height = 2×68/(5+9) ≈ 9.71 cm.

Height is the perpendicular distance to the base; given as 4 cm.

Height = side × sin(angle) = 6 × sin60 ≈ 5.2 cm.

Height = (2×Area)/base = 60/12 = 5 cm.

Height = 2×Area/(b1+b2) = 140/14 = 10 cm.

Height = (2×32)/8 = 8 cm.

Height = area/base = 45/9 = 5 cm.

Area = ((4+10)/2)×height = 7×height; 42/7 = 6 cm.

 
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