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 = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(4.6)(4)[/tex]
= 9.2 cm²
Area of second lateral side = [tex]\frac{1}{2}(6)(4)[/tex]
= 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 = [tex]\frac{1}{2}(6)(4)[/tex]
= 12 cm²
Area of the second face = [tex]\frac{1}{2}(4.6)(4)[/tex]
= 9.2 cm²
Therefore, Options (1), (2) and (4) are the correct options.
