Introduction to 3D Solids

Q. How many cubes of side 4 cm each can be cut from wooden block in the form of a cuboid whose length, breadth and height are 24 cm, 12 cm and 8 cm respectively.

1. 36
2. 38
3. 42
4. 40

Q.

Which of the following statement(s) is/are true?

(i) All cubes are cuboids.

(ii) All cuboids are cubes.

(iii) A cube has 6 faces, 8 corners, 12 edges.

(iv) A cube has 8 faces, 12 corners and 6 edges.

1. (i)

2. (i) and (iii)

3. (ii) and (iv)

4. (i) and (iv)

Q.

A cuboid is of the following dimensions $24cm\times 14cm\times 8cm$. How many small cubes of side 4 cm can be placed in the given cuboid? [2 MARKS]

Q.

Find the area of the pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm, and DG = 4 cm.

Q. The ratio of number of edges of a cube to the number of faces of a cube is__

1. 2
2. 3
3. 4
4. $\frac{1}{2}$

Q.

A pond is in the shape of a trapezium. A bridge is to be constructed such that the bridge is perpendicular to the parallel sides. It is given that the area of a pond is 1080 $m^2$ and the lengths of its parallel sides are 55.6 m and 34.4 m. Find the length of the bridge.

1. 24 m
2. 48 m
3. 56 m
4. 12 m

Q. The ratio of number of edges of a cube to the number of faces of a cube is__

1. $\frac{1}{2}$
2. 2
3. 4
4. 3

Q. Find the number of cubes of side 2 cm required to make a cube of side 6 cm.

1. 32
2. 42
3. 37
4. 27

Q. If two cuboids are joined side by side, we get a cube.

1. False
2. True

Q. From six rectangles, we can form a cube.

1. False
2. True

Q. If the lengths of two diagonals of a rhombus are 15 cm and 41.6 cm, then find its area.

1. 312 $c{m}^2$
2. 156 $c{m}^2$
3. 1248 $c{m}^2$
4. 624 $c{m}^2$

Q. If three cubes of same width are joined side by side, we get a cuboid .

1. False
2. True

Q. Find the area of pentagon ABCDE, given that EB = 10 cm, DC = 5 cm, AF = 3 cm and DG = 4 cm.

1. 15 $c{m}^2$
2. 60 $c{m}^2$
3. 45 $c{m}^2$
4. 30 $c{m}^2$

Q.

Which of the following expressions would you use to find the area of a trapezium?

1. $2\times \text{base}\times \text{height}$

2. $\frac{1}{2}\times \text{(sum of parallel sides)}\times \text{(height)}$

3. $\frac{1}{2}\times \text{(sum of non parallel sides)}\times \text{(height)}$

4. $\text{Product of base and height}$

Q. The area of a trapezium is 1586 cm² and the distance between its parallel sides is 26 cm. If the length of one of the parallel sides is 84 cm, then find the length of other parallel side.

1. 38 cm
2. 23 cm
3. 25 cm
4. 42 cm

Q.

Which 3-D solid figure can be formed from the above shown image? [1 MARK]

Q. The ratio of number of edges of a cube to the number of faces of a cube is ____.