SaiBook.us SAT-3

Lesson Example Discussion Quiz: Class Homework

Quiz At Home

Title: Geometry

Grade: Best-SAT3 Lesson: S3-P2

Explanation: Hello Students, time to practice and review. Let us take next 10-15 minutes to solve the ten problems using the Quiz Sheet. Then submit the quiz to get the score. This is a good exercise to check your understanding of the concepts.

Quiz: at Home

Problem Id	Problem	Options
1	The area of a rectangle is 200. The ratio of the base to the height is 2:4. Find the base, the height, and the diagonal of the rectangle.	A) b = 10 ,h = 20 d = \$10\sqrt5\$ B) b = 2 ,h = 20 d = \$10\sqrt5\$ C) b = 10 ,h = 12 d = \$10\sqrt5\$ D) b = 10 ,h = 20 d = \$10\sqrt10\$
2	What is the positive difference in area between a parallelogram with a height of 12 and a base length of 15 and a triangle with a height of 8 and a base length of 10?	A) 140 sq.units B) 120 sq.units C) 160 sq.units D) 140 units
3	Find the surface area of triangle based pyramid. $3$	A) 800 sq.cm B) 900 sq.cm C) 850 sq.cm D) 950 sq.cm
4	Find the total surface area of a cone with a slant height of 15 cm and a base radius of 10 cm.	A) \$785 cm^3\$ B) \$758 cm^2\$ C) \$785 cm^2\$ D) \$784 cm^2\$
5	Calculate the total surface area of the triangular pyramid. The base triangle has 12 sides, a height of 15 units, and a slant height of 18 units.	A) 400 sq.units B) 414 units C) 144 sq.cm D) 414 sq.cm
6	Find the volume of frustum. $6$	A) 42.78cm^3 B) 4.78cm^3 C) 40.78cm^3 D) 78.4cm^3
7	A circle has a circumference of 2π and it is used as the base of a cylinder. The cylinder has a surface area of 20π. Find the volume of the cylinder.	A) 9π B) 18π C) 6π D) 12π
8	In the figure, line q is parallel to line r, and both lines are intersected by line s. If y = 2x - 8, what is the value of x? $8$	A) 52 B) 62 C) 68 D) 64
9	Quadrilateral P’Q’R’S' is similar to quadrilateral PQRS, where P, Q R, S, and correspond to P', Q', R', and S', respectively. The measure of angle P is 30°, the measure of angle Q is 50°, and the measure of angle R is 70°. The length of each side of P', Q', R', and S' is 3 times the length of each corresponding side of PQRS. What is the measure of angle Q'?	A) 70° B) 60° C) 50° D) 100°
10	In the figure, the ratio of the shaded area to the non-shaded area is 4 to 5. What is the value of x, in degrees? $10$	A) 200° B) 240° C) 300° D) 100°

Problem Id

Problem

Options

The area of a rectangle is 200. The ratio of the base to the height is 2:4. Find the base, the height, and the diagonal of the rectangle.

A) b = 10 ,h = 20
d = \$10\sqrt5\$

B) b = 2 ,h = 20
d = \$10\sqrt5\$

C) b = 10 ,h = 12
d = \$10\sqrt5\$

D) b = 10 ,h = 20
d = \$10\sqrt10\$

What is the positive difference in area between a parallelogram with a height of 12 and a base length of 15 and a triangle with a height of 8 and a base length of 10?

A) 140 sq.units

B) 120 sq.units

C) 160 sq.units

D) 140 units

Find the surface area of triangle based pyramid.

$3$

A) 800 sq.cm

B) 900 sq.cm

C) 850 sq.cm

D) 950 sq.cm

Find the total surface area of a cone with a slant height of 15 cm and a base radius of 10 cm.

A) \$785 cm^3\$

B) \$758 cm^2\$

C) \$785 cm^2\$

D) \$784 cm^2\$

Calculate the total surface area of the triangular pyramid. The base triangle has 12 sides, a height of 15 units, and a slant height of 18 units.

A) 400 sq.units

B) 414 units

C) 144 sq.cm

D) 414 sq.cm

Find the volume of frustum.

$6$

A) 42.78cm^3

B) 4.78cm^3

C) 40.78cm^3

D) 78.4cm^3

A circle has a circumference of 2π and it is used as the base of a cylinder. The cylinder has a surface area of 20π. Find the volume of the cylinder.

A) 9π

B) 18π

C) 6π

D) 12π

In the figure, line q is parallel to line r, and both lines are intersected by line s. If y = 2x - 8, what is the value of x?

$8$

A) 52

B) 62

C) 68

D) 64

Quadrilateral P’Q’R’S' is similar to quadrilateral PQRS, where P, Q R, S, and correspond to P', Q', R', and S', respectively. The measure of angle P is 30°, the measure of angle Q is 50°, and the measure of angle R is 70°. The length of each side of P', Q', R', and S' is 3 times the length of each corresponding side of PQRS. What is the measure of angle Q'?

A) 70°

B) 60°

C) 50°

D) 100°

In the figure, the ratio of the shaded area to the non-shaded area is 4 to 5. What is the value of x, in degrees?

$10$

A) 200°

B) 240°

C) 300°

D) 100°