Question

Latha Made a lamp shade in the form of a rectangular hexagonal prism each side of the hexagon is 32 cm long she wants to fix beading along the sides of the hexagonal shape on top and bottom of this shade. what length of beading does she need?

Answer 1

Latha requires 384 cm of beading to cover the top and bottom hexagonal shapes of her lamp shade, as each side is 32 cm and there are 6 sides on each hexagon.

Step-by-step explanation:

Latha needs to determine the length of beading required to be fixed along the sides of the top and bottom of the hexagonal lamp shade. Since each side of the hexagon is 32 cm, and a hexagon has 6 sides, the total length of beading needed for one hexagon is 6 sides multiplied by 32 cm per side.

To calculate the total length, we use the formula:

1. Length of one side of the hexagon = 32 cm
2. Total sides of the hexagon = 6 sides
3. Total beading for one hexagon = Length of one side × total sides
4. Total beading for one hexagon = 32 cm × 6 = 192 cm
5. Since there are two hexagons (top and bottom), Total beading needed = 2 × 192 cm = 384 cm

Therefore, Latha requires 384 centimeters of beading for her lamp shade.