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
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Answer:
Surface Area of the juice box = 269.6 cm²
Step-by-step 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
Answer
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
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