The surface area of the jewelry vox is C. 460 square inches.
Step-by-step explanation:
Step 1:
The given figure is made up of two pentagons and five rectangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of a rectangle with length 8 inches and width 6 inches [tex]= (8)(6) = 48.[/tex]
The surface area of 5 such rectangles[tex]= 5(48)=240.[/tex]
So the surface area of the 5 rectangles is 240 square inches.
Step 3:
The surface area of the pentagon is 110 square inches. There are two such pentagons on the jewelry box.
The surface area of 2 such pentagons [tex]= 2(110) = 220.[/tex]
The surface area of the 2 pentagons is 220 square inches.
Step 4:
The geometric shape's surface area [tex]= 240 + 220 = 460.[/tex]
So the surface area of the jewelry box is option C. 460 square inches.
