[2 Mark Question Answer]

Question 12 Marks

Find the length of the longest rod that can be placed in a room measuring 12 m 9 m 8 m.

Answer

17 m
[Hint. Length of the rod $=$ Length of the diagonal of the room.]

Question 22 Marks

The square on the diagonal of a cube has an area of $1875 cm^2$.
Calculate :
(i) the side of the cube,
(ii) the total surface area of the cube.

Answer

(i) 25 cm
(ii) $3750 cm^2$

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Question 32 Marks

The dimensions of a metallic cuboid are 100 cm. 80 cm 64 cm. It is melted and recast into a cube. Find
(i) the edge of the cube,
(ii) the surface area of the cube.

Answer

(i) 80 cm
(ii) $38400 cm^2$

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Question 42 Marks

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, find the edge of third smaller cube.

Answer

10 cm

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Question 52 Marks

Three cubes, each of side 6 cm, are joined end to end. Find the surface area of the resulting cuboid.

Answer

$504 cm^2$

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Question 62 Marks

The sum of the length, breadth and depth of a cuboid is 19 cm and the length of its diagonal is 11 cm. Find the surface area of the cuboid.

Answer

$240 cm^2$
[Hint. $(l+b+h)=19$ and $l^2+b^2+h^2=(11)^2$. Find $2(l b+b h+l h)$.]

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Question 72 Marks

The square on the diagonal of a cube has an area of 1875 $cm ^2$. Calculate :
(i) the side of the cube, (ii) the total surface area of the cube.

Answer

(i) 25 cm (ii) 3750 $cm ^2$

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Question 82 Marks

The dimensions of a metallic cuboid are 100 cm $\times$ 80 cm $\times$ 64 cm. It is melted and recast into a cube.
Find : (i) the edge of the cube, (ii) the surface area of the cube.

Answer

(i) 80 cm (ii) 38400 $cm ^2$

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Question 92 Marks

A metal cube of edge 12 cm is melted and formed into three smaller cubes. If the edges of two smaller cubes are 6 cm and 8 cm, find the edge of third smaller cube.

Answer

10 cm

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Question 102 Marks

Three cubes, each of side 6 cm, are joined end to end. Find the surface area of the resulting cuboid.

Answer

504 $cm ^2$

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Question 112 Marks

The sum of the length, breadth and depth of a cuboid is 19 cm and the length of its diagonal is 11 cm. Find the surface area of the cuboid.
$\left[\right.$ Hint. $(l+b+h)=19$ and $l^2+b^2+h^2=(11)^2$. Find $\left.2(l b+b h+l h)\right]$

Answer

240 $cm ^2$

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Question 122 Marks

Find the length of the longest rod that can be placed in a room measuring 12 m $\times$ 9m $\times$ 8m.
[Hint. Length of the rod = Length of the diagonal of the room.]

Answer

17 m

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MATHEMATICS [2 Mark Question Answer]

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