Mrs Malini goes to a grocery shop for
purchasing some glass jars for gifting in a
party she observed that the jars are
arranged in a specific pattern (3,6,9a).How many total jars are there
Answers
Given : shopkeeper used a box of dimensions as shown. Front face of the box is an equilateral triangle,
she 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 cm²
= √3 x 12 x 12 cm²
2 Equilateral Triangle area = 2 x √3 x 12 x 12 cm²
= √3 x 12 x 24 cm²
total surface area of the paper used = √3 x 12 x 24 + 30 x 24 Sq.cm
the capacity of the box = Equilateral triangle area * 10
= √3 x 12 x 12 * 10
= 1440 √3 cm³
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Answer:
i. (b) 108
ii. (b) 168
iii. (b) No because the common difference between each row is not the same.
iv. (d) 1440 × 1.73 cubic cm
v. (c)