The floor of an office is in shape of a square. If the floor was covered with 400 files each of side 15cm…

Question

The floor of an office is in shape of a square. If the floor was covered with 400 files each of side 15cm, find the length of one side of the floor.

ScanSolve AI Tutor · Accepted Answer

Haya Mbari, twende na maswali haya mapya.

Tatizo la 1: Kubadilisha lita kuwa sentimita za ujazo

Andika uhusiano kati ya lita na sentimita za ujazo.
Tunajua kuwa lita 1 ni sawa na sentimita za ujazo 1000.
$1 \text{ L} = 1000 \text{ cm}^3$
Badilisha kiasi kilichopewa.
Ili kubadilisha lita 1000 kuwa sentimita za ujazo, zidisha kwa 1000:
$1000 \text{ L} \times 1000 \frac{\text{cm}^3}{\text{L}} = 1,000,000 \text{ cm}^3$
Kiasi cha tanki ni:
$\boxed{\textbf{1,000,000 cm}^3}$
Tatizo la 2: Mapato ya matatu kwa mwezi wa Machi
Hesabu mapato kwa safari moja.
Matatu hubeba abiria 10, na kila abiria hulipa Sh 80.
$\text{Mapato kwa safari} = 10 \text{ abiria} \times 80 \frac{\text{Sh}}{\text{abiria}} = 800 \text{ Sh}$
Hesabu mapato kwa siku.
Matatu hufanya safari 9 kwa siku.
$\text{Mapato kwa siku} = 800 \frac{\text{Sh}}{\text{safari}} \times 9 \text{ safari} = 7200 \text{ Sh}$
Tambua idadi ya siku katika mwezi wa Machi.
Mwezi wa Machi una siku 31.
Hesabu jumla ya mapato kwa mwezi wa Machi.
$\text{Jumla ya mapato} = 7200 \frac{\text{Sh}}{\text{siku}} \times 31 \text{ siku} = 223,200 \text{ Sh}$
Matatu ilikusanya:
$\boxed{\textbf{Sh 223,200}}$
Tatizo la 3: Urefu wa upande mmoja wa sakafu ya ofisi
Hesabu eneo la tile moja.
Kila tile ni mraba na upande wa 45 cm.
$\text{Eneo la tile moja} = \text{upande} \times \text{upande} = 45 \text{ cm} \times 45 \text{ cm} = 2025 \text{ cm}^2$
Hesabu jumla ya eneo la sakafu.
Sakafu ilifunikwa na tiles 400.
$\text{Jumla ya eneo la sakafu} = 400 \times 2025 \text{ cm}^2 = 810,000 \text{ cm}^2$
Tafuta urefu wa upande mmoja wa sakafu.
Kwa kuwa sakafu ni ya mraba, eneo lake ni $s^2$ , ambapo $s$ ni urefu wa upande mmoja.
$s^2 = 810,000 \text{ cm}^2$
Ili kupata $s$ , tunachukua mzizi wa pili wa eneo:
$s = \sqrt{810,000 \text{ cm}^2}$ $s = 900 \text{ cm}$
Urefu wa upande mmoja wa sakafu ni:
$\boxed{\textbf{900 cm}}$

The floor of an office is in shape of a square. If the floor was covered with 400 files each of side 15cm, find the length of one side of the floor.

Step-by-step solution

Andika uhusiano kati ya lita na sentimita za ujazo.

Badilisha kiasi kilichopewa.

Hesabu mapato kwa safari moja.

Hesabu mapato kwa siku.

Tambua idadi ya siku katika mwezi wa Machi.

Hesabu jumla ya mapato kwa mwezi wa Machi.

Hesabu eneo la tile moja.

Hesabu jumla ya eneo la sakafu.

Tafuta urefu wa upande mmoja wa sakafu.

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