6th grade geometry

Question 1

How many vertices does a hexagonal prism have?

Answer 

Question 2

A trapezoid (trapezium) has parallel sides 5 m and 6 m, and height 12 m. What is its area, in m²?

Answer 

Question 3

A trapezoid has area 48 cm² and parallel sides 7 cm and 9 cm. What is its height, in cm?

Answer 

Question 4

A polyhedron has 8 vertices and 12 edges. Use Euler's rule F + V − E = 2 to find the number of faces.

Answer 

Question 5

Liam marks a point P on the grid. What are its coordinates? Type them like (−3, 5).

Answer 

Question 6

A raised garden bed is a trapezoid with parallel sides 6 m and 11 m, 5 m apart. One bag of compost covers 1 m². How many bags are needed to cover it? (Whole bags only.)

Answer 

Question 7

An L-shaped room is a 15 m by 10 m rectangle with a 12 m by 4 m rectangle missing from one corner. What is its floor area, in m²?

Answer 

Question 8

A parallelogram has base 11 cm, slanted side 6 cm and perpendicular height 5 cm. Elena says the area is 66 cm². What is the correct area, in cm²?

Answer 

Question 9

Find the surface area of a cuboid 12 cm long, 5 cm wide and 2 cm tall, in cm².

Answer 

Question 10

A parallelogram has area 14 m² and base 7 m. What is its perpendicular height, in m?

Answer 

Question 11

A cuboid has edges 2/3 m, 2 m and 1/2 m. Find its volume in m³ as a fraction or mixed number.

Answer (as a fraction)

Question 12

How long is the line segment from (−2, −8) to (7, −8)?

Answer 

Question 13

A trapezoid (trapezium) has parallel sides 9 cm and 11 cm, and height 2 cm. Find its area in cm².

Answer 

Question 14

A box measures 2.8 cm by 5 cm by 1.5 cm. What is its volume, in cm³?

Answer 

Question 15

A right triangle has legs of 6 m and 12 m. What is its area, in m²?

Answer 

Question 16

Reflect (3, 4) in the x-axis. Type the new point like (2, −3).

Answer