Question

Figure out if the figure is volume or surface area.​

(and the cut out cm is 4cm)

Answer 1

Surface area of the box = 168 cm²

Explanation:

Amount of cardboard needed = Surface area of the box

Since the given box is in the shape of a triangular prism,

Surface area of the prism = 2(surface area of the triangular bases) + Area of the three rectangular lateral sides

Surface area of the triangular base =
`(1)/(2)(\text{Base})(\text{height})`

=
`(1)/(2)(6)(4)`

= 12 cm²

Surface area of the rectangular side with the dimensions of (6cm × 9cm),

= Length × width

= 6 × 9

= 54 cm²

Area of the rectangle with the dimensions (9cm × 5cm),

= 9 × 5

= 45 cm²

Area of the rectangle with the dimensions (9cm × 5cm),

= 9 × 5

= 45 cm²

Surface area of the prism = 2(12) + 54 + 45 + 45

= 24 + 54 + 90

= 168 cm²