Question

The diagram shows a tent which has a rectangular base with vertical sides of height 2m, width 6m and length 8m, surmounted by a pyramid. The vertex,v, of the pyramid is 3m above the centre of the base of the tent

Calculate the area of the triangular face VEF

Calculate the area of the triangular face VFG.

The canvas on the sides and the roof is to be waterproofed at a cost of £1.25 per square metre.

Calculate the cost of waterproofing.

Thanks

Answer 1

I have no idea which vertices are VEF, but just draw a diagram and note that the distance from the center pole to the base of the triangle is 1/2 the side length adjacent to the base of the triangular face.

Then you can get the (slant) height of the triangle using the Pythagorean Theorem.