Solve the following problems :

Question 12 Marks

A standard die is a cube marked with the numbers 1, 2, 3, 4, 5 and 6. Find the sum of two numbers which are on the faces opposite to 6 and 2, respectively.

Answer

We know that the sum of numbers on two opposite faces of a standard die is always 7.
Therefore, the number opposite to 6
= 7 - 6
= 1
and the number opposite to 2 = 7- 2
= 5
$\therefore$ Required sum = 1 + 5 = 6

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Question 22 Marks

Anshika went to market for purchase some things to celebrating her birthday. She buys a matchbox, some candles and a cake which has no corner. Think and write what could the shapes of the items she purchased?

Answer

Anshika buy a matchbox, some candles and a cake which has zero corner.
We know that the shape of matchbox is cuboid and the shape of candle is cylindrical.
Also, we know that the cylinder has no corners, so it is clear that the shape of cake will be cylindrical.

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Question 32 Marks

A shape has 6 faces, 12 edges and 8 corners. It is not a cube. Think and write the name of the shape.

Answer

We know that the shape of cube and cuboid both have 6 faces, 12 edges and 8 corners. But it is given that it is not a cube.
Therefore, it is clear that the shape is cuboid.

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Question 42 Marks

Rahul join 5 cubes and make a tower. Find the number of faces and edges of the tower formed by joining the all five cubes.

Answer

On joining 5 cubes to make a tower, the formed shape will be a cuboid.
Also, we know that a cuboid has 6 faces and 12 edges.
Therefore, the formed tower has 6 faces and 12 edges.

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