Question

The roof of the house down the road is in the shape of a square pyramid. The length from the gutter to the top is ퟏퟓ풇풕.and the length of gutter on one side is ퟏퟖ풇풕.with no overlap. One bundle of shingles covers ퟐퟓsquare feet. How many bundles should you buy to cover

Answer 1

Therefore, the number of bundles to be bought is 22 bundles

Explanation:

Here we have;

Dimensions of roof

Square pyramid = 4 triangular sides

Base length of triangle = Length of gutter on one side = 18 ft

Height of triangle = Length from the gutter on one side to the top of the roof = 15 ft

∴ Area of one of the four triangles = 0.5 × Base × Height = 0.5 × 15 × 18 = 135 ft²

Total area of four sides of the pyramid = 4 × Area of one of the four triangles

∴ Total area of four sides of the pyramid = 4 × 135 ft² = 540 ft²

Area covered by one bundle of shingle = 25 ft²/bundle

Therefore number of bundles of shingles required =
`(Total \, area \ of \, four \ sides \ of \ the \ pyramid)/(Area \ covered \ by \ one \ bundle \ of \ shingle) = (540 \ ft^2)/(25 \ ft^2/bundle) = 21.6 \ bundles \approx 22 \ bundles`

Therefore, the number of bundles to be bought = 22 bundles.