What is the surface area of a square pyramid if the base has an area of 16 cm2 and the lateral faces have a slant height of 12 cm? 112 cm2 208 cm2 400 cm2 640 cm2

Option 1 - 112 cm.sq.

Step-by-step explanation:

Given : The base has an area of square pyramid 16 cm sq. and the lateral faces have a slant height of 12 cm.

To find : What is the surface area of a square pyramid?

Solution :

First we find the side of the square.

The base has an area of square pyramid is 16 cm.sq.

The side of the pyramid is a=4

Now, The lateral surface area of the square pyramid is the multiplication of half into perimeter of square into slant height.

The total surface area of the square pyramid is multiplication of lateral surface area into area of base.

Therefore, Option 1 is correct.

The surface area of a square pyramid is 112 cm.sq.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

step-by-step explanation: