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EMATH 015- QUIZ ON LSA-TSA-VOLUME

Total questions: 20

Worksheet time: 2mins

Name
Class
Date
1.

What is the formula for the volume of a rectangular prism?

a)

V=l×w×h

b)

V=πr²h

c)

V=⅓Bh

d)

V=s³

2.

The lateral surface area of a cylinder excludes:

a)

The curved surface

b)

Both circular bases

c)

The top circular base

d)

The rectangular net

3.

If a cube has edges of length 5 units, what is its total surface area?

a)

125 square units

b)

150 square units

c)

100 square units

d)

75 square units

4.

The volume of a triangular prism can be calculated by:

a)

Base area × slant height

b)

Base perimeter × height

c)

Base area × height

d)

1/3 × base area × height

5.

In a rectangular pyramid, the lateral surface area consists of:

a)

Four congruent rectangles

b)

Four congruent triangles

c)

A square and four triangles

d)

Five congruent triangles

6.

The total surface area of a cylinder includes:

a)

Only the curved surface

b)

Two circles and one rectangle

c)

One circle and one rectangle

d)

Three rectangles

7.

A cube with volume 27 cubic units has a total surface area of:

a)

54 square units

b)

108 square units

c)

81 square units

d)

72 square units

8.

The lateral surface area of a triangular prism includes:

a)

All faces including bases

b)

Three rectangles only

c)

Two triangles only

d)

Three triangles

9.

For a cylinder with radius r and height h, the lateral surface area is:

a)

2πr²

b)

2rh

c)

hπr²

d)

r(r+h)π

10.

The ratio of volumes of two similar pyramids with heights h1 and h2 is:

a)

h1:h2

b)

h1²:h2²

c)

h1³:h2³

d)

h1:h2\sqrt[]{h1}:\sqrt[]{h2}

11.

A rectangular prism has dimensions 3, 4, and 5 units. Its total surface area is:

a)

94 square units

b)

60 square units

c)

47 square units

d)

148 square units

12.

The slant height of a regular pyramid is:

a)

Equal to the height

b)

Always longer than the height

c)

Equal to the base edge

d)

Always shorter than the height

13.

The surface area of a triangular prism includes:

a)

Two triangles and two rectangles

b)

Three triangles only

c)

Two triangles and three rectangles

d)

Three rectangles only

14.

If the radius of a cylinder is doubled while height remains constant, its volume:

a)

Doubles

b)

Quadruples

c)

Increases by a factor of 8

d)

Remains the same

15.

The lateral surface area of a square pyramid with base edge a and slant height l is:

a)

2al

b)

4al

c)

2a²

d)

2al + a²

16.

In similar solids, the ratio of surface areas is equal to:

a)

The ratio of corresponding lengths

b)

The square of the ratio of corresponding lengths

c)

The cube of the ratio of corresponding lengths

d)

The square root of the ratio of corresponding lengths

17.

The total surface area of a cube is 96 square units. Its volume is:

a)

64 cubic units

b)

16 cubic units

c)

32 cubic units

d)

48 cubic units

18.

For a right circular cylinder, the ratio of curved surface area to total surface area is 2:3. If the radius is r, the height is:

a)

r

b)

2r

c)

3r

d)

4r

19.

The volume of a pyramid is what fraction of the volume of a prism with the same base and height?

a)

1/2

b)

1/3

c)

1/4

d)

1/6

20.

If all dimensions of a rectangular prism are doubled, its volume increases by a factor of:

a)

2

b)

4

c)

6

d)

8