Home » Maths for Planet Earth » Solar Panelling a House

Solar Panelling a House


A homeowner wishes to cover their roof with solar panels.

Their roof can be modelled as a prism with volume 24m3

The height of the triangular cross section is h.

Solar Panelling a House

If solar panels can only be placed on the 2 rectangular sections of the roof

a) Work out the area of roof that could be covered by solar panels. Give your answer to 2.s.f.

[4 marks]

A company provides solar panels that are 1.5m long and 1.0m high and cost £200 each, including installation. 

b) If this is the only size of solar panels available, how much will it cost the homeowner to buy and install them?

[3 marks]

Start exploring

Latest from blog

More Maths for Planet Earth

A Level
A hurricane is heading from the Atlantic Ocean to Miami, Florida. If the centre of the hurricane goes within a 50 kilometre radius of
Climate change can lead to species extinction through changing habitats rapidly, not leaving the species time to adapt. Warming at the moment is at
A Level
During a particularly hot summer, the area of a small forest was reduced by fire. The area, Akm2, of the surviving forest is modelled
Below is a diagram of 3 offshore wind turbines, A, B and C, in a wind farm, as seen from above. Given that the