Calculate 3 yd² to in² Step by Step

Step by step

The question

Question: change 3 yd² to square inches.

1 Change the length

This square is 1 yard on each side.

Its area is 1 square yard.

1 yard is 36 inches.

So each side is 36 inches long.

1 yd = 36 in

2 Change the area

So the square holds 36 rows of 36 small squares, each 1 square inch.

We draw only a few of them.

So 1 square yard is 36 inches times 36 inches.

1 yd² = 36 in × 36 in

36 times 36 is 1,296.

36 × 36 = 1,296

So 1 yd² = 1,296 in².

Not 36: the 36 comes in twice.

1 yd² = 1,296 in²

3 Multiply

Each square yard is 1,296 square inches.

We have 3 of them, so we multiply: big unit to small unit.

3 yd² = 3 × 1,296 in²

Careful!

Times 36 only changes a length.

A square has two sides to change: times 36, and times 36 again.

Careful: not 3 × 36 ✗

3 times 1,296 is 3,888.

3 × 1,296 = 3,888

So 3 yd² = 3,888 in².

3 yd² = 3,888 in²

4 Check

Let's check: go back the other way.

Divide by 1,296.

3,888 ÷ 1,296 = 3

We get 3 square yards again.

So it is right!

Let's look back.

First: change the length.

Then: change the area.

Then: multiply.

Last: check.

Answer