7th Grade > Mathematics
VISUALISING SOLID SHAPES MCQs
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B
No, it cannot. A cube can cast a shadow in the shape of a square.
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A
Yes. The shape of shadow of a circular pipe can be a rectangle.
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In a die, the sum of numbers on opposite faces is always 7.
So, A + 5 = 7
Hence, the value of A is 2.
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In a die, the sum of numbers on opposite faces is 7.
Therefore, the sum of the numbers on the faces opposite to 4 and 3 = (7 - 4) + (7 - 3) = (3 + 4) = 7
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C
It is given that it is the figure of a opened die, we know that the sum of numbers on the opposite faces of a die is 7.
So, the number on the opposite face of D is 4.
⟹ D + 4= 7
⟹ D = 7 - 4 = 3
⟹ D = 3
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B
The corners of a solid shape are called its vertices; the line segments of its skeleton are called its edges; and its flat surfaces are its faces.
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B
It is given that the figure can be formed in the shape of the die, we know that the sum of numbers on opposite faces of a die is 7.
When we form a die with the given shape, the number on the opposite face of A , B and C will be 2,1 and 3 respectively.
So, number on the opposite face of B is 1.
⟹B+1=7
⟹B= 7-1 = 6
⟹B= 6
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In a die, the sum of numbers on opposite faces is 7.
So, 3 + C = 7
C = 4.
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In a die, sum of numbers on opposite faces is 7.
Hence, A + B = 7 and C + 5 = 7 hence C = 7 - 5 = 2.
Therefore, A + B + C = 7 + 2 = 9.