Question

Which statements are true about the rectangular pyramid below? Select three options.

Answer 1

Options (1), (2) and (4)

Explanation:

1). Since, pyramid given in the picture is a rectangular pyramid,

Area of the rectangular base = Length × Width

= 6 × 4

= 24 cm²

2). There are four lateral sides of the pyramid.

3). Lateral sides of the pyramid are not congruent.

4). Total surface area = Area of the lateral sides + Area of the rectangular base.

Area of one lateral side =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(1)/(2)(4.6)(4)`

= 9.2 cm²

Area of second lateral side =
`(1)/(2)(6)(4)`

= 12 cm²

Area of the lateral sides = 2(9.2) + 2(12)

= 42.4 cm²

Total surface area = 42.4 + 24

= 66.4 cm²

5). Area of the one face =
`(1)/(2)(6)(4)`

= 12 cm²

Area of the second face =
`(1)/(2)(4.6)(4)`

= 9.2 cm²

Therefore, Options (1), (2) and (4) are the correct options.