In the given figure, all the dimensions are given in cm. The volume of the solid is : 1. 7 cm x 13 cm x 20 cm 2. (7 + 13) x 20 x 3 cm^3 3. 1/4(7 + 13) x 3 x 20 cm^3 4. 1/2 (7 + 13) x 3 x 20 cm^3

Volume of solid = Area of base x height Area of base = Area of trapezium = x (sum of parallel side) x height = x (7 + 13) x 3 Volume of solid = x (7 + 13) x 3 x 20 Hence, option 4 is the correct option.

Mathematics

In the given figure, all the dimensions are given in cm. The volume of the solid is :
7 cm x 13 cm x 20 cm
(7 + 13) x 20 x 3 cm³
$\dfrac{1}{4}(7 + 13)$ x 3 x 20 cm³
$\dfrac{1}{2}(7 + 13)$ x 3 x 20 cm³

Mensuration

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Answer

Volume of solid = Area of base x height

Area of base = Area of trapezium = $\dfrac{1}{2}$ x (sum of parallel side) x height

= $\dfrac{1}{2}$ x (7 + 13) x 3

Volume of solid = $\dfrac{1}{2}$ x (7 + 13) x 3 x 20

Hence, option 4 is the correct option.

Answered By

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Mathematics

In the given figure, all the dimensions are given in cm. The volume of the solid is :
7 cm x 13 cm x 20 cm
(7 + 13) x 20 x 3 cm³
$\dfrac{1}{4}(7 + 13)$ x 3 x 20 cm³
$\dfrac{1}{2}(7 + 13)$ x 3 x 20 cm³

Mensuration

Answer

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Mathematics

In the given figure, all the dimensions are given in cm. The volume of the solid is :7 cm x 13 cm x 20 cm(7 + 13) x 20 x 3 cm314(7+13)\dfrac{1}{4}(7 + 13)41​(7+13) x 3 x 20 cm312(7+13)\dfrac{1}{2}(7 + 13)21​(7+13) x 3 x 20 cm3

Mensuration

Answer

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In the given figure, all the dimensions are given in cm. The volume of the solid is :
7 cm x 13 cm x 20 cm
(7 + 13) x 20 x 3 cm³
$\dfrac{1}{4}(7 + 13)$ x 3 x 20 cm³
$\dfrac{1}{2}(7 + 13)$ x 3 x 20 cm³

A tank with dimensions 12 m, 10 m and 8 m is dug and the soil taken out of it is spread uniformly on a field of length = 40 m and breadth = 32 m. The rise in level of the field is :
7.5 m
7.5 cm
75 cm
75 m

Through the pipe of uniform cross-section (12 cm²) water flows with the speed of 20 cm/s. The volume of water that flows in 1 minute is :
0.0144 m³
0.144 m³
144 cm³
240 cm³

The length, breadth and height of a rectangular solid are in the ratio 5 : 4 : 2. If the total surface area is 1216 cm², find the length, the breadth and the height of the solid.

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