Varun wants to wrap two boxes with gift wrappers - a cubical box whose side length is 14 cm and a cuboidal box measuring 31 cm × 11 cm × 12 cm. What is the minimum area of gift wrappers needed to pack the two boxes?
Answers
Answer:
The minimum area of gift wrappers needed to pack the two boxes
= 2866 cm²
Step-by-step explanation:
Given : Cubical box side length = 14 cm
Cuboidal box size = 31 cm x 11cm x 12 cm
Solution : The minimum area = Total surface area of cube + Total surface
area of Cuboid
Total surface area of cube = 6 x side²
= 6 x 14²
= 6 x 196
= 1176 cm²
Total surface of cuboid = 2 x (LB + BH + LH)
= 2 (31x11 + 11x12 + 31x12)
= 2 x ( 341 + 132 + 372)
= 2 x 845
= 1690 cm²
The minimum area of gift wrappers needed to pack the two boxes = 1176 +
1690
= 2866 cm²