Miscellaneous Mensuration (Simple) | Learn Mathematics Online

Miscellaneous Mensuration (Simple)

Study Material (PDF)

Study Material (PDF)

Click on each question to see answer & solution.

Question No: #61

If each edge of a cube is increased by 50%, then how much the total surface area of this cube will be increased in percent?

Ans: 125%

Question No: #62

If the side of a cube is increased by 20%, then what will be the percentage increase in the volume of cube?

Ans: 72.8%

Question No: #63

Each side of a cube is decreased by 50%. Then what will be the ratio of volumes of the original cube and the decreased rube ?

Ans: `8:1`

Question No: #64

If the numerical value of total surface area and volume of a cube are equal, then what is the length of the diagonal?

Ans: `6\sqrt{3}` unit

Question No: #65

The number of cubes of length 1 cm that can be made from a cube of length `x` cm (i.e. each edge is `x` cm) is -
(a) `8x^3`, (b) `x^3`, (c) `x^3/8`, (d) `1/x^3`

Ans: (b) `x^3`

Question No: #66

By melting a cube of side 9 cm, how much cubes can be prepared of side 3 cm?

Ans: 27

Question No: #67

Three solid cubes each having edge lengths 3 cm, 4 cm and 5 cm respectively. A new solid cube is prepared by melting three cubes. What is the length of each edge of the new cube?

Ans: 6 cm

Question No: #68

If the sum of all the edges of a cube is 36 cm, then the volume of that cube is -
(a) 27 `\text{cm}^3`, (b) 36 `\text{cm}^3`, (c) 9 `\text{cm}^3`, (d) 54 `\text{cm}^3`

Ans: (a) 27 `\text{cm}^3` (ঘনসেমি)

Question No: #69

If the ratio of the volumes of two cubes is `1:27`, the ratio of the total surface areas of the two cubes will be -
(a) `1:3`, (b) `1:8`, (c) `1:9`, (d) `1:18`

Ans: (c) `1:9`

Question No: #70

Area of the lateral surfaces of a cube is 256 sq.m. Then the volume of this cube is -
(a) 64 cubic-meter, (b) 216 cubic-meter, (c) 256 cubic-meter, (d) 512 cubic-meter

Ans: (d) 512 cubic-meter (ঘনমিটার)