Question

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

Answer 1

Answer:

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

Step-by-step 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 = $\frac{1}{2}(\text{Base})(\text{Height})$

                                       = $\frac{1}{2}(4.6)(4)$

                                       = 9.2 cm²

Area of second lateral side = $\frac{1}{2}(6)(4)$

                                              = 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 = $\frac{1}{2}(6)(4)$

                                        = 12 cm²

Area of the second face = $\frac{1}{2}(4.6)(4)$

                                         = 9.2 cm²

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