Surface Area And Volume of A Cuboid And Cube Maths - Surface Area And Volume of A Cuboid And Cube

Volume of a cuboid is 12cm³. The volume (in cm³) of a cuboid whose side are doubled of the above cuboid is:

1. 24
2. 48
3. 72
4. 96

Three equal cubes are placed adjacently in a row. The ratio of the total surface area of the resulting cuboid to the sum of the surface areas of three cubes, is:

1. 7 : 9
2. 49 : 81
3. 9 : 7
4. 27 : 23

The number of cubes of side 3cm that can be cut from a cuboid of dimensions 10cm × 9cm × 6cm, is:

1. 9
2. 10
3. 18
4. 20

Find the ratio of the total surface area and lateral surface area of a cube.

Find the laterall surface area and total surface area of a cuboid of length 80cm, breadth 40cm and height 20cm.

Water in a rectangular reservoir having base 80m by 60m is 6.5m deep. In what time can the water be pumped by a pipe of which the cross-section is a square of side 20cm if the water runs through the pipe at the rate of 15km/hr.

Three metal cubes with edges 6cm, 8cm, 10cm respectively are melted together and formed into a single cube. Find the volume, surface area and diagonal of the new cube.

Three equal cubes are placed adjacently in a row. Find the ratio of a total surface area of the new cuboid to that of the sum of the surface areas of the three cubes.

The external dimensions of a closed wooden box are 48cm, 36cm, 30cm. The box is made of 1.5cm thick wood. How many bricks of size 6cm × 3cm × 0.75cm can be put in this box?

The dimensions of a cinema hall are 100m, 50m, 18m. How many persons can sit in the hall, if each person requires 150m³ of air?

Water in a canal 30dm wide and 12dm deep, is flowing with a velocity of 100km every hour. What much area will it irrigate in 30 minutes if 8cm of standing water is desired?

Two cubes, each of volume 512cm³ are joined end to end. Find the surface area of the resulting cuboid.

The paint in a certain container is sufficient to paint on an area equal to 9.375m², How many bricks of dimension 22.5cm × 10cm × 7.5cm can be painted out of this container?

The length of a hall is 18m and the width 12m. The sum of the areas of the floor and the flat roof is equal to the sum of the areas of the four walls. Find the height of the hall.

The length, breadth, and height of a room are 5m, 4m and 3m respectively. Find the cost of whitewashing the walls of the room and the ceiling at the rate of ₹ 7.50m².