geduardo206 geduardo206
  • 25-05-2018
  • Mathematics
contestada

What is the surface area of the figure?

A. 287 cm3 B. 427 cm3 C. 504 cm3 D. 574 cm3



What is the surface area of the figure A 287 cm3 B 427 cm3 C 504 cm3 D 574 cm3 class=

Respuesta :

Professor1994 Professor1994
  • 25-05-2018
This is a prism. The surface area is:
S=2 Ab+Al
Area of the base: Ab=(14 cm)(7 cm)+(14 cm-7 cm)(7 cm)
Ab=98 cm^2+(7 cm)(7 cm)
Ab=98 cm^2+49 cm^2
Ab=147 cm^2

Lateral area: Al=Pb h
Perimeter of the base: Pb=14 cm+14 cm+7 cm+7 cm+(14 cm-7 cm)+7 cm
Pb=14 cm+14 cm+7 cm+7 cm+14 cm-7 cm+7 cm
Pb=3(14 cm)+2(7 cm)
Pb=42 cm+14 cm
Pb=56 cm

Height of the prism: h=5 cm

Al=Pb h = (56 cm)(5 cm)
Al=280 cm^2

S=2 Ab+Al
S=2(147 cm^2)+280 cm^2
S=294 cm^2+280 cm^2
S=574 cm^2

Answer: Option D. 574 cm^2
Answer Link

Otras preguntas

Which of the following is an example of a chemical property of matter that can be observed? Weight Temperature Flammability Breaking glass
Which of the following was a power granted to the Federal government under the Articles of Confederation? A. issue money B. sign treaties C. increase taxes
What’s the answer??????
In a particular class of 28 students, 12 are men. What fraction of the students in the class are men?​
which of the following are major detiies in hinduism
which is closer to 12? 11.96 or 12.0321​
PLEASE HELP WILL GIVE BRAINLIEST Select the correct text in the passage. Which sentence in this excerpt from Edgar Allan Poe’s “The Tell-Tale Heart” is an examp
3 ten thousands, 41 thousands, 45 hundreds, 49 tens, and 8 ones. Regroup
I need help with this geometry problem.
If f(x)=5x-4, what is the value of f(3)?