Question

the diagram shows the net of a juice box. the box is a rectangular prism. what is the surface area of the juice box? 6.4 cm 4 cm 10.5 cm multiply answer a 134.8 b 185.6 c 218.4 d 269.6

Answer 1

Surface Area of the juice box = 269.6 cm²

The dimensions of the box in shape of rectangular prism is given by :

6.4 cm × 4 cm × 10.5 cm

⇒ Length = 6.4 cm

Width = 4 cm

Height = 10.5 cm

Surface Area of rectangular prism is given by the formula = 2(wl + hl + hw) ,where w = width, h = height and l = length

⇒ Area of rectangular prism shaped box = 2(4×6.4 + 10.5×6.4 + 10.5×4)

= 2(25.6 + 67.2 + 42)

= 2 × 134.8

= 269.6 square cm

Hence, Surface Area of the juice box = 269.6 cm²

Therefore, The correct option is D. 269.6

Answer 2

Surface Area of the juice box = 269.6 cm²

Explanation:

The dimensions of the box in shape of rectangular prism is given by :

6.4 cm × 4 cm × 10.5 cm

⇒ Length = 6.4 cm

Width = 4 cm

Height = 10.5 cm

Surface Area of rectangular prism is given by the formula = 2(wl + hl + hw) ,where w = width, h = height and l = length

⇒ Area of rectangular prism shaped box = 2(4×6.4 + 10.5×6.4 + 10.5×4)

= 2(25.6 + 67.2 + 42)

= 2 × 134.8

= 269.6 square cm

Hence, Surface Area of the juice box = 269.6 cm²

Therefore, The correct option is D. 269.6