Math Core

Unit 7 · Test

Unit 7 test: Geometry

15 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers the area of parallelograms, triangles, trapezoids and other polygons, volume with fractional edges, nets and surface area, and polygons on the coordinate plane.

Question 1

A parallelogram has a base of 14 cm and a height of 6 cm. What is its area, in square centimeters?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 2

A triangle has a base of 9 feet and a height of 8 feet. What is its area, in square feet?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

A triangle has an area of 42 square inches and a base of 12 inches. What is its height, in inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 4

A trapezoid has bases of 8 inches and 12 inches and a height of 5 inches. What is its area, in square inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 5

A garden is made of a rectangle 9 m long and 6 m wide, with a triangle attached to one of its 6 m sides. The triangle's base is that 6 m side and its height is 4 m. What is the total area of the garden, in square meters?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

A rectangular patio is 15 feet by 10 feet. A square planter 3 feet on each side sits in one corner and is not paved. What area of the patio is paved, in square feet?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

A box is 3123\frac{1}{2} inches long, 2 inches wide and 4 inches tall. What is its volume, in cubic inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

How many cubes with 13\frac{1}{3}-foot edges fill a box that is 1 foot long, 23\frac{2}{3} foot wide and 1131\frac{1}{3} feet tall?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

A block of wood is 2142\frac{1}{4} inches long, 1121\frac{1}{2} inches wide and 23\frac{2}{3} inch tall. What is its volume, in cubic inches? (You may answer as a fraction or a mixed number.)

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 10

A box is 5 cm long, 4 cm wide and 3 cm tall. What is its surface area, in square centimeters?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 11

A net is made of 2 identical triangles and 3 rectangles. What solid does it fold into?

Question 12

A square pyramid has a base with 10-inch sides. Each of its 4 triangular faces has a base of 10 inches and a height of 12 inches. What is its surface area, in square inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

What is the distance between the points (−7,2)(-7, 2) and (5,2)(5, 2)?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 14

A rectangle has vertices (−3,4)(-3, 4), (5,4)(5, 4), (5,−2)(5, -2) and (−3,−2)(-3, -2). What is its area, in square units?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

Three vertices of a rectangle are (−5,−3)(-5, -3), (1,−3)(1, -3) and (1,2)(1, 2). What are the coordinates of the fourth vertex?

Enter a point like (2, -3)