Cuboid

Q. Find the cost of painting a cuboid of dimensions $20$ cm $\times 15$ cm $\times 12$ cm at the rate of 5 paise per square centimeter

Q. Find the total surface area of a cuboid whose length, breadth and height are 5 cm, 4 cm and 3 cm respectively.

1. $86c{m}^2$
2. $51c{m}^2$
3. $64c{m}^2$
4. $94c{m}^2$

Q. A cuboidal parcel is being packed in cardboard. If the parcel is 64 cm long, 8 cm wide, and 1 cm thick, what is the area of cardboard required?

1. 1168 ${\mathrm{cm}}^2$
2. 784 ${\mathrm{cm}}^2$
3. 640 ${\mathrm{cm}}^2$
4. 200 ${\mathrm{cm}}^2$

Q. The length, breadth and height of a cubiod is 30 cm, 25cm, 20 cm respectively. Its total surface area is

1. $3800c{m}^2$
2. $3700c{m}^2$
3. $3600c{m}^2$
4. $3900c{m}^2$

Q. A cuboidal parcel is being packed in cardboard. If the parcel is 64 cm long, 8 cm wide, and 1 cm thick, what is the area of cardboard required?

1. 200 ${\mathrm{cm}}^2$
2. 1168 ${\mathrm{cm}}^2$
3. 640 ${\mathrm{cm}}^2$
4. 784 ${\mathrm{cm}}^2$

Q. Find the total surface area of the following cuboid.

Q. Question 10
A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label on the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

Q. 1 Verify Eulers formula for a square pyramid. 2 How are prisms and cylinders alike?

Q.

Question 48

Two cylinders A and B are formed by folding a rectangular sheet of dimensions 20 cm×10 cm along its length and also along its breadth respectively. Curved surface area of A is ___ surface area of B.

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Question 65

The walls and ceiling of a room are to be plastered. The length, breadth and height of the room are 4.5 m, 3 m and 350 cm respectively. Find the cost of plastering at the rate of Rs. 8 per $m^2$.

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Question 75

Find the length of the largest pole that can be placed in a room of dimensions $12m\times 4m\times 3m$.

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A room is 4.8 m long, 3.6 m broad and 2 m high. Find the cost of laying tiles on its floor and its four walls at the rate of Rs 100/m².

Q. The amount of cardboard needed to build a closed cylindrical box of given dimensions is sq. in.

(Take $\pi$ = 3.14)

1. 113.04
2. 168.76
3. 138.16
4. 254.34

Q. An oil tin in the shape of a cuboid has dimensions, 26 cm $\times$ 26 cm $\times$ 45 cm . If 1 sq. m sheet costs ₹10 , then the total cost for making 20 such tins is ____.

1. ₹120.64
2. ₹125.60
3. ₹128.60
4. ₹129.60

Q.

The pillars on the veranda of a school are square prisms of base length 20 centimetres and height 2.25 metres. There are 60 such pillars. What is the total cost of painting them all, at 250 rupees per square metre?

Q.

The cost $C$ (in dollars) of making a square window with a side length of $ninches$is represented by$C=\frac{n^2}{5}+175$. A window costs $\$355$. What is the side length (in feet) of the window? Justify your answer.

Q. An oil tin in the shape of a cuboid having dimensions, 26 cm $\times$ 26 cm $\times$ 45 cm . If 1 sq. m sheet costs ₹10 , then find the total cost for making 20 such tins.

Q.

Find the length of the side of a cube whose total surface area is $1536c{m}^2$.

1. $0.16m$

2. $0.16cm$

3. $1.6m$

4. $160cm$

Q. A matchbox measures $4$ cm$\times 2.5$ cm $\times 1.5$ cm. What will be the volume of a packet containing 12 such boxes ?

Q.

A reservoir in the form of cuboid is $50m$ long. If $20kl$ water is removed from the reservoir, water level goes down by $10cm$. Find the width of the reservoir.

1. $6m$

2. $3m$

3. $4m$

4. $5m$

Q. The surface area of the cuboid as shown below is sq. in.

1. 60
2. 72
3. 84
4. 96

Q. (a+b) = 12 ab= 2 find the vakye of (a cube +b cub

Q. Daniel is painting the walls and ceiling of a cuboidal hall with length, breadth and height of 15 m, 10 m and 7 m respectively. From each can of paint $100m^2$ of area is painted. How many cans of paint will she need to paint the room?

Q. A concical tent has slant height of 14 m, and the curved surface area is 308 $m^2$. What is its base area?

1. 154

Q. Calculate the total surface area of a cuboid whose length is $a$ units, breadth is $a^2$ units, and height is $a^3$ units.

1. $2(a^3+a^5+a^4)$ sq. units
2. $2(a^4+a^5+a^6)$ sq. units
3. $2(a^6+a^4+a^2)$ sq. units
4. None of the above

Q.

Question 114

Four times the area of the curved surface of a cylinder is equal to 6 times the sum of the areas of its bases. If its height is 12 cm, find its curved surface area.

Q. A company packages its milk powder in a cylindrical container whose base has a diameter of 14 cm and height 20 cm. The company places a label on the surface of the container (as shown in the figure). If the label is placed 2 cm from top and bottom, what is the area of the label?

Q. The length, breadth and height of a cuboid are in the ratio $5:4:2$. If the total surface area is $1216$ c$m^2$, find the dimensions of the solid.

1. $(21\times 11\times 8)$ cm
2. $(20\times 16\times 8)$ cm
3. $(27\times 17\times 8)$ cm
4. $(25\times 19\times 8)$ cm

Q. Question 79

Draw the net of the following cuboid:

Q. If the length, breadth, and height of a cuboidal block are 15 ft, 12 ft, and 12 ft respectively, find the total surface area of the block.

1. 1008 cm${}^2$
2. 504 cm${}^2$
3. 1548 cm${}^2$
4. 1220 cm${}^2$