2024105
contestada

Hugo is making a metal box as part of a sculpture. He
wants to know how much metal is needed to make a box with the dimensions shown.

What is the surface area of the box?

O A. 21 square centimeters

B. 30 square centimeters

C. 18 square centimeters

O D. 42 square centimeters

Hugo is making a metal box as part of a sculpture He wants to know how much metal is needed to make a box with the dimensions shown What is the surface area of class=

Respuesta :

sreedevi102

Answer:

We can split the solid into 6 rectangles

Rectangle1 with sides (2cm, 3cm)

Rectangle2 (square) with sides (3cm, 3cm)

Rectangle3 with sides (2cm, 3cm)

Rectangle4(square) with sides (3cm, 3cm)

Rectangle5 with sides (2cm, 3cm)

Rectangle6 with sides (2cm, 3cm)

Area of rectangle = Length x Breadth

[tex]area \ of \ rectangle1 = 6cm^2\\\\area \ of \ rectangle2 = 9cm^2\\\\area \ of \ rectangle3 = 6cm^2\\\\area \ of \ rectangle4 = 9cm^2\\\\area \ of \ rectangle5 = 6cm^2\\\\area \ of \ rectangle6 =6cm^2\\[/tex]

The total surface area = 6 + 9 + 6 +9 + 6 +6 = 42 square centimeters

option D

The total surface area of all 6 rectangles is 42 square centimeters.

We can split the solid into 6 rectangles

Rectangle1 with sides (2cm, 3cm)

Rectangle2 (square) with sides (3cm, 3cm)

Rectangle3 with sides (2cm, 3cm)

Rectangle4(square) with sides (3cm, 3cm)

Rectangle5 with sides (2cm, 3cm)

Rectangle 6 with sides (2cm, 3cm)

What is the area of the rectangle?

Area of rectangle = Length x Breadth

Therefore the area of rectangle1=6cm^2

Area of the rectangle2=9cm^2

Area of the rectangle3=6cm ^2

Area of the rectangle4=9cm^2

Area of the rectangle5=6cm^2

Area of the rectangle4=6cm^2

The total surface area = 6 + 9 + 6 +9 + 6 +6 = 42 square centimeters

Therefore option D is correct.

To learn more about the rectangle visit:

https://brainly.com/question/25292087

#SPJ2

Otras preguntas