Question

3. A jewelry store buys small boxes in which to wrap the items that it sells. The diagram below shows one of the boxes. The diagram is not drawn to scale.
What are the lateral area and the surface area of the box to the nearest whole number? Use the large 15cm x 6cm rectangles on the top and bottom as the bases.


A) 47 cm² ; 275 cm²

B) 95 cm² ; 365 cm²

C) 47 cm² ; 365 cm²

D) 95 cm² ; 275 cm²

Answer 1

Answer:

1) The lateral area is LA=95 cm²

2) The surface area is SA=275  cm²

The answer is the option D) 95 cm² ; 275 cm²

Step-by-step explanation:

we know that

The surface area of the box (rectangular prism) is equal to

SA=2B+LA

where

B is the area of the base

LA is the lateral area of the box

Find the lateral area

LA=PH

where

P is the perimeter of the base

H is the height of the box

substitute

LA=2[15+6](2.26)=94.92 cm²

Round to the nearest whole number

LA=95 cm²

Find the area of the base B

B=(15)(6)=90 cm²

Find the surface area of the box

SA=2B+LA

substitute the values

SA=2(90)+95=275  cm²