Question

Solving:

An old man age
51 yrs. old is wishing to find out his age in
seconds. Help him find it out and express your answer in
scientific notation.
2. Car A travelled a distance, 25.7 km while car B travelled 20 miles
Which of the two cars travelled a longer distance?
Prove your answer using the following: 1 m = 3.3 ft, 1km = 1000 m
1mi = 5280 ft
3. A wooden box has the following dimension L = 1.525 m W = 0,30 m
and the H = 0, 5156 m. What is its volume?

Answer 1

1. 31,536,000 seconds

2. Car B traveled a longer distance

3. Volume of box = 0.235887 cubic meters

Step-by-step explanation:

Q1. Age in seconds

1 year = 365 days
1 day = 24 hours
1 hour = 60 minutes
1 minute = 60 seconds

Therefore 1 year = 365 x 24 x 60 x 60 = 31,536,000 seconds

In scientific notation this would be
`3.1536* 10^7 \text{ seconds}`

Q2. Comparing km and miles

Given:
1 km = 1000m and 1 m = 3.3ft, I km = 1000 x 3.3 = 3300 ft.

Convert Car A distance of 25.7km to feet :
25.7 km. = 25. 7 x 3300 ft. = 84,810 ft.

For Car B that traveled 20 miles,
20 miles = 20 x 5280 = 105,600 ft.

Since 105,600 > 84,810, car B traveled a longer distance

Q3. Volume of wooden box

The wooden box is in the shape of a rectangular prism
It volume is L x W x H
Volume = 1.525 x 0.30 x 0.5156 = 0.235887 cubic meters