Rashi asked the shopkeeper to wrap it with gift paper, the total
surface area of the paper used ______
(a) √3 X 12 X 24 + 30 X 24 Sq.cm
(b) 3.14X 12 X 24 + 30 X 24 Sq.cm
(c) 1.41 X 12 X 24 + 30 X 24 Sq.cm
(d) √3 X 24 X 24 + 30 X 24 Sq.cm
Answers
Answer:
THE SURFACE AREA OF THE PAPER USED IS OPTION (B)
Given : shopkeeper used a box of dimensions as shown. Front face of the box is an equilateral triangle,
Rashi asked the shopkeeper to wrap it with gift paper
To find : the total surface area of the paper used
Solution:
total surface area of the paper used = 2 Equilateral Triangles + 3 Rectangles
Rectangle area = 10 x 24 cm²
3 Rectangle area = 3 x 10 x 24 cm²
3 Rectangle area = 30 x 24 cm²
Equilateral Triangle area = (√3 / 4) 24²
= √3 x 12 x 12
2 Equilateral Triangle area = 2 x √3 x 12 x 12
= √3 x 12 x 24
total surface area of the paper used = √3 x 12 x 24 + 30 x 24 Sq.cm
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