Shape And Space (7)

Question 1

Find the perimeter of a rectangle with length 7 cm and width 5 cm.

Answer 1

P = 2(7 + 5) = 24 cm

Question 2

Find the area of a rectangle with length 7 cm and width 5 cm.

Answer 2

A = 7 × 5 = 35 cm²

Question 3

Find the area of a triangle with base 8 cm and height 6 cm.

Answer 3

A = 1/2 × 8 × 6 = 24 cm²

Question 4

Find the area of a parallelogram with base 10 cm and height 4 cm.

Answer 4

A = 10 × 4 = 40 cm²

Question 5

Find the area of a trapezoid with bases 6 cm and 4 cm and height 5 cm.

Answer 5

A = 1/2 × (6 + 4) × 5 = 25 cm²

Question 6

Find the surface area of a rectangular prism with length 4 cm, width 3 cm, height 5 cm.

Answer 6

SA = 2(lw + lh + wh) = 2(12 + 20 + 15) = 94 cm²

Question 7

Find the volume of a rectangular prism with length 4 cm, width 3 cm, height 5 cm.

Answer 7

V = l × w × h = 4 × 3 × 5 = 60 cm³

Question 8

Find the surface area of a cylinder with radius 3 cm and height 10 cm.

Answer 8

SA = 2π r² + 2π r h = 2π(9) + 2π(30) = 78π cm²

Question 9

Find the volume of a cylinder with radius 3 cm and height 10 cm.

Answer 9

V = π r² h = π(9)(10) = 90π cm³

Question 10

Two angles are complementary. If one angle is 40°, what is the other?

Answer 10

90 - 40 = 50°

Question 11

Two angles are supplementary. If one angle is 110°, what is the other?

Answer 11

180 - 110 = 70°

Question 12

Find the sum of interior angles of a pentagon.

Answer 12

(5 - 2) × 180 = 540°

Question 13

Find the measure of each interior angle of a regular hexagon.

Answer 13

720 ÷ 6 = 120°

Question 14

Reflect the point (3, 5) over the y-axis. What are the coordinates?

Answer 14

(-3, 5)

Question 15

Rotate the point (2, 4) 90° clockwise around the origin.

Answer 15

(4, -2)

Question 16

Translate the point (1, 2) by vector (3, -1). What are the new coordinates?

Answer 16

(4, 1)

Question 17

Dilate the point (2, 3) with a scale factor of 2 from the origin.

Answer 17

(4, 6)