Mathematics 10 — Exercise Review · Q4 (i)

Full question

Cuboid AB=5 cm, BC=7 cm, AE=3 cm. Find AG to 3 significant figures.

Step-by-step solution

1. Base diagonal AC²=5²+7²=25+49=74.

2. Calculate this operation before combining the remaining terms.

   $$3^2=9$$

3. Calculate this operation before combining the remaining terms.

   $$74+9=83$$

4. Space diagonal AG²=AC²+CG²=74+3².

   $$74+3^2$$

5. Add 74+9=83 and take √83.

   $$\sqrt{83}$$

6. Round only the answer to 3 significant figures: 9.11 cm.

Answer

The final answer is shown below.