Work out the volume of this prism - OCR - GCSE Maths - Question 6 - 2021 - Paper 1

To find the area of the base of the prism, we can divide the shape into two rectangular areas:

1. The larger rectangle measuring 6 cm (length) x 4 cm (width)
2. The smaller rectangle measuring 1 cm (length) x 3 cm (height)

• Area of the larger rectangle: $ext{Area}_{ ext{large}} = 6 imes 4 = 24 ext{ cm}^2$

• Area of the smaller rectangle: $ext{Area}_{ ext{small}} = 1 imes 3 = 3 ext{ cm}^2$

Thus, the total area of the base is: $ext{Total Area} = ext{Area}_{ ext{large}} - ext{Area}_{ ext{small}} = 24 - 3 = 21 ext{ cm}^2$